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Finding the Fourth Proportional to 151.24, 208.76 and 89.12

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Solution

The fourth proportional to 151.24, 208.76 and 89.12 is: 123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.24 : 208.76 = 89.12 : x
  2. Step 2: Convert to fraction form
    151.24/208.76 = 89.12/x
  3. Step 3: Cross multiply
    151.24x = 208.76 × 89.12
  4. Step 4: Simplify right side
    151.24x = 18,604.69
  5. Step 5: Solve for x
    x = 18,604.69/151.24
  6. Step 6: Final answer
    x = 123.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.