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Finding the Fourth Proportional to 457.23, 686.25 and 213.89

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Solution

The fourth proportional to 457.23, 686.25 and 213.89 is: 321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.23 : 686.25 = 213.89 : x
  2. Step 2: Convert to fraction form
    457.23/686.25 = 213.89/x
  3. Step 3: Cross multiply
    457.23x = 686.25 × 213.89
  4. Step 4: Simplify right side
    457.23x = 146,782.01
  5. Step 5: Solve for x
    x = 146,782.01/457.23
  6. Step 6: Final answer
    x = 321.02

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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.