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Finding the Fourth Proportional to 153.05, 230.72 and 142.87

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Solution

The fourth proportional to 153.05, 230.72 and 142.87 is: 215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.05 : 230.72 = 142.87 : x
  2. Step 2: Convert to fraction form
    153.05/230.72 = 142.87/x
  3. Step 3: Cross multiply
    153.05x = 230.72 × 142.87
  4. Step 4: Simplify right side
    153.05x = 32,962.01
  5. Step 5: Solve for x
    x = 32,962.01/153.05
  6. Step 6: Final answer
    x = 215.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.