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Finding the Fourth Proportional to 458.13, 686.71 and 214.81

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Solution

The fourth proportional to 458.13, 686.71 and 214.81 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.13 : 686.71 = 214.81 : x
  2. Step 2: Convert to fraction form
    458.13/686.71 = 214.81/x
  3. Step 3: Cross multiply
    458.13x = 686.71 × 214.81
  4. Step 4: Simplify right side
    458.13x = 147,512.18
  5. Step 5: Solve for x
    x = 147,512.18/458.13
  6. Step 6: Final answer
    x = 321.99

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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.