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Finding the Fourth Proportional to 457.45, 686.18 and 214.15

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Solution

The fourth proportional to 457.45, 686.18 and 214.15 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.45 : 686.18 = 214.15 : x
  2. Step 2: Convert to fraction form
    457.45/686.18 = 214.15/x
  3. Step 3: Cross multiply
    457.45x = 686.18 × 214.15
  4. Step 4: Simplify right side
    457.45x = 146,945.45
  5. Step 5: Solve for x
    x = 146,945.45/457.45
  6. Step 6: Final answer
    x = 321.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.