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Finding the Fourth Proportional to 415.29, 623.05 and 141.40

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Solution

The fourth proportional to 415.29, 623.05 and 141.40 is: 212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.29 : 623.05 = 141.40 : x
  2. Step 2: Convert to fraction form
    415.29/623.05 = 141.40/x
  3. Step 3: Cross multiply
    415.29x = 623.05 × 141.40
  4. Step 4: Simplify right side
    415.29x = 88,099.70
  5. Step 5: Solve for x
    x = 88,099.70/415.29
  6. Step 6: Final answer
    x = 212.14

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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.