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Finding the Fourth Proportional to 457.66, 686.38 and 180

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Solution

The fourth proportional to 457.66, 686.38 and 180 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.66 : 686.38 = 180 : x
  2. Step 2: Convert to fraction form
    457.66/686.38 = 180/x
  3. Step 3: Cross multiply
    457.66x = 686.38 × 180
  4. Step 4: Simplify right side
    457.66x = 123,548.40
  5. Step 5: Solve for x
    x = 123,548.40/457.66
  6. Step 6: Final answer
    x = 269.96

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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.