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Finding the Fourth Proportional to 153.62, 211.92 and 142.64

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Solution

The fourth proportional to 153.62, 211.92 and 142.64 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.62 : 211.92 = 142.64 : x
  2. Step 2: Convert to fraction form
    153.62/211.92 = 142.64/x
  3. Step 3: Cross multiply
    153.62x = 211.92 × 142.64
  4. Step 4: Simplify right side
    153.62x = 30,228.27
  5. Step 5: Solve for x
    x = 30,228.27/153.62
  6. Step 6: Final answer
    x = 196.77

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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.