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Finding the Fourth Proportional to 458.56, 687.84 and 242.38

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Solution

The fourth proportional to 458.56, 687.84 and 242.38 is: 363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.56 : 687.84 = 242.38 : x
  2. Step 2: Convert to fraction form
    458.56/687.84 = 242.38/x
  3. Step 3: Cross multiply
    458.56x = 687.84 × 242.38
  4. Step 4: Simplify right side
    458.56x = 166,718.66
  5. Step 5: Solve for x
    x = 166,718.66/458.56
  6. Step 6: Final answer
    x = 363.57

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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.