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Finding the Fourth Proportional to 458.57, 686.77 and 238.61

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Solution

The fourth proportional to 458.57, 686.77 and 238.61 is: 357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.57 : 686.77 = 238.61 : x
  2. Step 2: Convert to fraction form
    458.57/686.77 = 238.61/x
  3. Step 3: Cross multiply
    458.57x = 686.77 × 238.61
  4. Step 4: Simplify right side
    458.57x = 163,870.19
  5. Step 5: Solve for x
    x = 163,870.19/458.57
  6. Step 6: Final answer
    x = 357.35

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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.