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Finding the Fourth Proportional to 417.24, 575.68 and 251.40

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Solution

The fourth proportional to 417.24, 575.68 and 251.40 is: 346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 575.68 = 251.40 : x
  2. Step 2: Convert to fraction form
    417.24/575.68 = 251.40/x
  3. Step 3: Cross multiply
    417.24x = 575.68 × 251.40
  4. Step 4: Simplify right side
    417.24x = 144,725.95
  5. Step 5: Solve for x
    x = 144,725.95/417.24
  6. Step 6: Final answer
    x = 346.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.