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Finding the Fourth Proportional to 180.12, 268.47 and 169.87

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Solution

The fourth proportional to 180.12, 268.47 and 169.87 is: 253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 268.47 = 169.87 : x
  2. Step 2: Convert to fraction form
    180.12/268.47 = 169.87/x
  3. Step 3: Cross multiply
    180.12x = 268.47 × 169.87
  4. Step 4: Simplify right side
    180.12x = 45,603.69
  5. Step 5: Solve for x
    x = 45,603.69/180.12
  6. Step 6: Final answer
    x = 253.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.