Home / 472.78-709.30-148.16

Finding the Fourth Proportional to 472.78, 709.30 and 148.16

Calculator

Solution

The fourth proportional to 472.78, 709.30 and 148.16 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 709.30 = 148.16 : x
  2. Step 2: Convert to fraction form
    472.78/709.30 = 148.16/x
  3. Step 3: Cross multiply
    472.78x = 709.30 × 148.16
  4. Step 4: Simplify right side
    472.78x = 105,089.89
  5. Step 5: Solve for x
    x = 105,089.89/472.78
  6. Step 6: Final answer
    x = 222.28

Related Problems

Find fourth proportional to 236.39, 354.65 and 74.08
Half scale
Find fourth proportional to 945.56, 1,418.60 and 296.32
Double scale
Find fourth proportional to 473.78, 710.80 and 149.16
Similar ratio
Find fourth proportional to 709.17, 1,063.95 and 222.24
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.