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Finding the Fourth Proportional to 458.88, 687.46 and 242.60

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Solution

The fourth proportional to 458.88, 687.46 and 242.60 is: 363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 687.46 = 242.60 : x
  2. Step 2: Convert to fraction form
    458.88/687.46 = 242.60/x
  3. Step 3: Cross multiply
    458.88x = 687.46 × 242.60
  4. Step 4: Simplify right side
    458.88x = 166,777.80
  5. Step 5: Solve for x
    x = 166,777.80/458.88
  6. Step 6: Final answer
    x = 363.45

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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.