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Finding the Fourth Proportional to 153.30, 231.10 and 143.12

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Solution

The fourth proportional to 153.30, 231.10 and 143.12 is: 215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.30 : 231.10 = 143.12 : x
  2. Step 2: Convert to fraction form
    153.30/231.10 = 143.12/x
  3. Step 3: Cross multiply
    153.30x = 231.10 × 143.12
  4. Step 4: Simplify right side
    153.30x = 33,073.52
  5. Step 5: Solve for x
    x = 33,073.52/153.30
  6. Step 6: Final answer
    x = 215.74

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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.