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Finding the Fourth Proportional to 140.16, 192.48 and 130.14

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Solution

The fourth proportional to 140.16, 192.48 and 130.14 is: 178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.16 : 192.48 = 130.14 : x
  2. Step 2: Convert to fraction form
    140.16/192.48 = 130.14/x
  3. Step 3: Cross multiply
    140.16x = 192.48 × 130.14
  4. Step 4: Simplify right side
    140.16x = 25,049.35
  5. Step 5: Solve for x
    x = 25,049.35/140.16
  6. Step 6: Final answer
    x = 178.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.