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Finding the Fourth Proportional to 410.55, 565.24 and 348.24

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Solution

The fourth proportional to 410.55, 565.24 and 348.24 is: 479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.55 : 565.24 = 348.24 : x
  2. Step 2: Convert to fraction form
    410.55/565.24 = 348.24/x
  3. Step 3: Cross multiply
    410.55x = 565.24 × 348.24
  4. Step 4: Simplify right side
    410.55x = 196,839.18
  5. Step 5: Solve for x
    x = 196,839.18/410.55
  6. Step 6: Final answer
    x = 479.45

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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.