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Finding the Fourth Proportional to 417.16, 624.54 and 308.44

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Solution

The fourth proportional to 417.16, 624.54 and 308.44 is: 461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.16 : 624.54 = 308.44 : x
  2. Step 2: Convert to fraction form
    417.16/624.54 = 308.44/x
  3. Step 3: Cross multiply
    417.16x = 624.54 × 308.44
  4. Step 4: Simplify right side
    417.16x = 192,633.12
  5. Step 5: Solve for x
    x = 192,633.12/417.16
  6. Step 6: Final answer
    x = 461.77

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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.