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Finding the Fourth Proportional to 415.38, 623.52 and 312.96

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Solution

The fourth proportional to 415.38, 623.52 and 312.96 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 623.52 = 312.96 : x
  2. Step 2: Convert to fraction form
    415.38/623.52 = 312.96/x
  3. Step 3: Cross multiply
    415.38x = 623.52 × 312.96
  4. Step 4: Simplify right side
    415.38x = 195,136.82
  5. Step 5: Solve for x
    x = 195,136.82/415.38
  6. Step 6: Final answer
    x = 469.78

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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.