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Finding the Fourth Proportional to 458.42, 687.50 and 241.88

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Solution

The fourth proportional to 458.42, 687.50 and 241.88 is: 362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 687.50 = 241.88 : x
  2. Step 2: Convert to fraction form
    458.42/687.50 = 241.88/x
  3. Step 3: Cross multiply
    458.42x = 687.50 × 241.88
  4. Step 4: Simplify right side
    458.42x = 166,292.50
  5. Step 5: Solve for x
    x = 166,292.50/458.42
  6. Step 6: Final answer
    x = 362.75

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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.