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Finding the Fourth Proportional to 458.42, 686.21 and 249.67

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Solution

The fourth proportional to 458.42, 686.21 and 249.67 is: 373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 686.21 = 249.67 : x
  2. Step 2: Convert to fraction form
    458.42/686.21 = 249.67/x
  3. Step 3: Cross multiply
    458.42x = 686.21 × 249.67
  4. Step 4: Simplify right side
    458.42x = 171,323.09
  5. Step 5: Solve for x
    x = 171,323.09/458.42
  6. Step 6: Final answer
    x = 373.72

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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.