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Finding the Fourth Proportional to 151.84, 226.80 and 130.07

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Solution

The fourth proportional to 151.84, 226.80 and 130.07 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.84 : 226.80 = 130.07 : x
  2. Step 2: Convert to fraction form
    151.84/226.80 = 130.07/x
  3. Step 3: Cross multiply
    151.84x = 226.80 × 130.07
  4. Step 4: Simplify right side
    151.84x = 29,500.44
  5. Step 5: Solve for x
    x = 29,500.44/151.84
  6. Step 6: Final answer
    x = 194.28

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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.