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Finding the Fourth Proportional to 458.15, 686.84 and 207.81

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Solution

The fourth proportional to 458.15, 686.84 and 207.81 is: 311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.15 : 686.84 = 207.81 : x
  2. Step 2: Convert to fraction form
    458.15/686.84 = 207.81/x
  3. Step 3: Cross multiply
    458.15x = 686.84 × 207.81
  4. Step 4: Simplify right side
    458.15x = 142,731.18
  5. Step 5: Solve for x
    x = 142,731.18/458.15
  6. Step 6: Final answer
    x = 311.54

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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.