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Finding the Fourth Proportional to 417.17, 624.92 and 194.49

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Solution

The fourth proportional to 417.17, 624.92 and 194.49 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.17 : 624.92 = 194.49 : x
  2. Step 2: Convert to fraction form
    417.17/624.92 = 194.49/x
  3. Step 3: Cross multiply
    417.17x = 624.92 × 194.49
  4. Step 4: Simplify right side
    417.17x = 121,541.58
  5. Step 5: Solve for x
    x = 121,541.58/417.17
  6. Step 6: Final answer
    x = 291.35

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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.