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Finding the Fourth Proportional to 415.13, 619.45 and 356.81

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Solution

The fourth proportional to 415.13, 619.45 and 356.81 is: 532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.13 : 619.45 = 356.81 : x
  2. Step 2: Convert to fraction form
    415.13/619.45 = 356.81/x
  3. Step 3: Cross multiply
    415.13x = 619.45 × 356.81
  4. Step 4: Simplify right side
    415.13x = 221,021.97
  5. Step 5: Solve for x
    x = 221,021.97/415.13
  6. Step 6: Final answer
    x = 532.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.