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Finding the Fourth Proportional to 153.56, 229.36 and 151.14

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Solution

The fourth proportional to 153.56, 229.36 and 151.14 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.56 : 229.36 = 151.14 : x
  2. Step 2: Convert to fraction form
    153.56/229.36 = 151.14/x
  3. Step 3: Cross multiply
    153.56x = 229.36 × 151.14
  4. Step 4: Simplify right side
    153.56x = 34,665.47
  5. Step 5: Solve for x
    x = 34,665.47/153.56
  6. Step 6: Final answer
    x = 225.75

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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.