Home / 306.02-459.30-288.20

Finding the Fourth Proportional to 306.02, 459.30 and 288.20

Calculator

Solution

The fourth proportional to 306.02, 459.30 and 288.20 is: 432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 459.30 = 288.20 : x
  2. Step 2: Convert to fraction form
    306.02/459.30 = 288.20/x
  3. Step 3: Cross multiply
    306.02x = 459.30 × 288.20
  4. Step 4: Simplify right side
    306.02x = 132,370.26
  5. Step 5: Solve for x
    x = 132,370.26/306.02
  6. Step 6: Final answer
    x = 432.55

Related Problems

Find fourth proportional to 153.01, 229.65 and 144.10
Half scale
Find fourth proportional to 612.04, 918.60 and 576.40
Double scale
Find fourth proportional to 307.02, 460.80 and 289.20
Similar ratio
Find fourth proportional to 459.03, 688.95 and 432.30
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.