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Finding the Fourth Proportional to 417.08, 624.24 and 263.12

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Solution

The fourth proportional to 417.08, 624.24 and 263.12 is: 393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.08 : 624.24 = 263.12 : x
  2. Step 2: Convert to fraction form
    417.08/624.24 = 263.12/x
  3. Step 3: Cross multiply
    417.08x = 624.24 × 263.12
  4. Step 4: Simplify right side
    417.08x = 164,246.91
  5. Step 5: Solve for x
    x = 164,246.91/417.08
  6. Step 6: Final answer
    x = 393.80

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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.