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Finding the Fourth Proportional to 417.46, 625.76 and 186.48

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Solution

The fourth proportional to 417.46, 625.76 and 186.48 is: 279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.46 : 625.76 = 186.48 : x
  2. Step 2: Convert to fraction form
    417.46/625.76 = 186.48/x
  3. Step 3: Cross multiply
    417.46x = 625.76 × 186.48
  4. Step 4: Simplify right side
    417.46x = 116,691.72
  5. Step 5: Solve for x
    x = 116,691.72/417.46
  6. Step 6: Final answer
    x = 279.53

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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.