Home / 470.84-706.05-146.16

Finding the Fourth Proportional to 470.84, 706.05 and 146.16

Calculator

Solution

The fourth proportional to 470.84, 706.05 and 146.16 is: 219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 706.05 = 146.16 : x
  2. Step 2: Convert to fraction form
    470.84/706.05 = 146.16/x
  3. Step 3: Cross multiply
    470.84x = 706.05 × 146.16
  4. Step 4: Simplify right side
    470.84x = 103,196.27
  5. Step 5: Solve for x
    x = 103,196.27/470.84
  6. Step 6: Final answer
    x = 219.18

Related Problems

Find fourth proportional to 235.42, 353.03 and 73.08
Half scale
Find fourth proportional to 941.67, 1,412.10 and 292.32
Double scale
Find fourth proportional to 471.84, 707.55 and 147.16
Similar ratio
Find fourth proportional to 706.25, 1,059.08 and 219.24
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.