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Finding the Fourth Proportional to 151.18, 208.54 and 92.15

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Solution

The fourth proportional to 151.18, 208.54 and 92.15 is: 127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.18 : 208.54 = 92.15 : x
  2. Step 2: Convert to fraction form
    151.18/208.54 = 92.15/x
  3. Step 3: Cross multiply
    151.18x = 208.54 × 92.15
  4. Step 4: Simplify right side
    151.18x = 19,216.23
  5. Step 5: Solve for x
    x = 19,216.23/151.18
  6. Step 6: Final answer
    x = 127.11

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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.