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Finding the Fourth Proportional to 410.28, 565.38 and 270.24

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Solution

The fourth proportional to 410.28, 565.38 and 270.24 is: 372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.28 : 565.38 = 270.24 : x
  2. Step 2: Convert to fraction form
    410.28/565.38 = 270.24/x
  3. Step 3: Cross multiply
    410.28x = 565.38 × 270.24
  4. Step 4: Simplify right side
    410.28x = 152,788.29
  5. Step 5: Solve for x
    x = 152,788.29/410.28
  6. Step 6: Final answer
    x = 372.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.