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Finding the Fourth Proportional to 457.48, 686.62 and 214.14

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Solution

The fourth proportional to 457.48, 686.62 and 214.14 is: 321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.48 : 686.62 = 214.14 : x
  2. Step 2: Convert to fraction form
    457.48/686.62 = 214.14/x
  3. Step 3: Cross multiply
    457.48x = 686.62 × 214.14
  4. Step 4: Simplify right side
    457.48x = 147,032.81
  5. Step 5: Solve for x
    x = 147,032.81/457.48
  6. Step 6: Final answer
    x = 321.40

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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.