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Finding the Fourth Proportional to 415.72, 621.30 and 358.30

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Solution

The fourth proportional to 415.72, 621.30 and 358.30 is: 535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.72 : 621.30 = 358.30 : x
  2. Step 2: Convert to fraction form
    415.72/621.30 = 358.30/x
  3. Step 3: Cross multiply
    415.72x = 621.30 × 358.30
  4. Step 4: Simplify right side
    415.72x = 222,611.79
  5. Step 5: Solve for x
    x = 222,611.79/415.72
  6. Step 6: Final answer
    x = 535.48

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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.