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Finding the Fourth Proportional to 458.45, 687.26 and 238.61

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Solution

The fourth proportional to 458.45, 687.26 and 238.61 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.45 : 687.26 = 238.61 : x
  2. Step 2: Convert to fraction form
    458.45/687.26 = 238.61/x
  3. Step 3: Cross multiply
    458.45x = 687.26 × 238.61
  4. Step 4: Simplify right side
    458.45x = 163,983.67
  5. Step 5: Solve for x
    x = 163,983.67/458.45
  6. Step 6: Final answer
    x = 357.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.