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Finding the Fourth Proportional to 415.76, 623.70 and 141.77

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Solution

The fourth proportional to 415.76, 623.70 and 141.77 is: 212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 623.70 = 141.77 : x
  2. Step 2: Convert to fraction form
    415.76/623.70 = 141.77/x
  3. Step 3: Cross multiply
    415.76x = 623.70 × 141.77
  4. Step 4: Simplify right side
    415.76x = 88,421.24
  5. Step 5: Solve for x
    x = 88,421.24/415.76
  6. Step 6: Final answer
    x = 212.68

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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.