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Finding the Fourth Proportional to 146.34, 200.70 and 140.76

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Solution

The fourth proportional to 146.34, 200.70 and 140.76 is: 193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.34 : 200.70 = 140.76 : x
  2. Step 2: Convert to fraction form
    146.34/200.70 = 140.76/x
  3. Step 3: Cross multiply
    146.34x = 200.70 × 140.76
  4. Step 4: Simplify right side
    146.34x = 28,250.53
  5. Step 5: Solve for x
    x = 28,250.53/146.34
  6. Step 6: Final answer
    x = 193.05

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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.