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Finding the Fourth Proportional to 142.48, 196.48 and 109.24

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Solution

The fourth proportional to 142.48, 196.48 and 109.24 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.48 : 196.48 = 109.24 : x
  2. Step 2: Convert to fraction form
    142.48/196.48 = 109.24/x
  3. Step 3: Cross multiply
    142.48x = 196.48 × 109.24
  4. Step 4: Simplify right side
    142.48x = 21,463.48
  5. Step 5: Solve for x
    x = 21,463.48/142.48
  6. Step 6: Final answer
    x = 150.64

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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.