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Finding the Fourth Proportional to 142.80, 214.24 and 93.36

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Solution

The fourth proportional to 142.80, 214.24 and 93.36 is: 140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.80 : 214.24 = 93.36 : x
  2. Step 2: Convert to fraction form
    142.80/214.24 = 93.36/x
  3. Step 3: Cross multiply
    142.80x = 214.24 × 93.36
  4. Step 4: Simplify right side
    142.80x = 20,001.45
  5. Step 5: Solve for x
    x = 20,001.45/142.80
  6. Step 6: Final answer
    x = 140.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.