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Finding the Fourth Proportional to 142.31, 196.30 and 100.86

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Solution

The fourth proportional to 142.31, 196.30 and 100.86 is: 139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.31 : 196.30 = 100.86 : x
  2. Step 2: Convert to fraction form
    142.31/196.30 = 100.86/x
  3. Step 3: Cross multiply
    142.31x = 196.30 × 100.86
  4. Step 4: Simplify right side
    142.31x = 19,798.82
  5. Step 5: Solve for x
    x = 19,798.82/142.31
  6. Step 6: Final answer
    x = 139.12

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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.