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Finding the Fourth Proportional to 415.78, 623.46 and 141.81

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Solution

The fourth proportional to 415.78, 623.46 and 141.81 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 623.46 = 141.81 : x
  2. Step 2: Convert to fraction form
    415.78/623.46 = 141.81/x
  3. Step 3: Cross multiply
    415.78x = 623.46 × 141.81
  4. Step 4: Simplify right side
    415.78x = 88,412.86
  5. Step 5: Solve for x
    x = 88,412.86/415.78
  6. Step 6: Final answer
    x = 212.64

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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.