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Finding the Fourth Proportional to 458.60, 687.87 and 165.98

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Solution

The fourth proportional to 458.60, 687.87 and 165.98 is: 248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 687.87 = 165.98 : x
  2. Step 2: Convert to fraction form
    458.60/687.87 = 165.98/x
  3. Step 3: Cross multiply
    458.60x = 687.87 × 165.98
  4. Step 4: Simplify right side
    458.60x = 114,172.66
  5. Step 5: Solve for x
    x = 114,172.66/458.60
  6. Step 6: Final answer
    x = 248.96

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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.