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Finding the Fourth Proportional to 415.93, 623.87 and 253.27

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Solution

The fourth proportional to 415.93, 623.87 and 253.27 is: 379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.93 : 623.87 = 253.27 : x
  2. Step 2: Convert to fraction form
    415.93/623.87 = 253.27/x
  3. Step 3: Cross multiply
    415.93x = 623.87 × 253.27
  4. Step 4: Simplify right side
    415.93x = 158,007.55
  5. Step 5: Solve for x
    x = 158,007.55/415.93
  6. Step 6: Final answer
    x = 379.89

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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.