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Finding the Fourth Proportional to 153.28, 211.52 and 142.40

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Solution

The fourth proportional to 153.28, 211.52 and 142.40 is: 196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.28 : 211.52 = 142.40 : x
  2. Step 2: Convert to fraction form
    153.28/211.52 = 142.40/x
  3. Step 3: Cross multiply
    153.28x = 211.52 × 142.40
  4. Step 4: Simplify right side
    153.28x = 30,120.45
  5. Step 5: Solve for x
    x = 30,120.45/153.28
  6. Step 6: Final answer
    x = 196.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.