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Finding the Fourth Proportional to 151.18, 225.45 and 133.00

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Solution

The fourth proportional to 151.18, 225.45 and 133.00 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.18 : 225.45 = 133.00 : x
  2. Step 2: Convert to fraction form
    151.18/225.45 = 133.00/x
  3. Step 3: Cross multiply
    151.18x = 225.45 × 133.00
  4. Step 4: Simplify right side
    151.18x = 29,984.29
  5. Step 5: Solve for x
    x = 29,984.29/151.18
  6. Step 6: Final answer
    x = 198.34

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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.