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Finding the Fourth Proportional to 140.59, 210.05 and 135.80

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Solution

The fourth proportional to 140.59, 210.05 and 135.80 is: 202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.59 : 210.05 = 135.80 : x
  2. Step 2: Convert to fraction form
    140.59/210.05 = 135.80/x
  3. Step 3: Cross multiply
    140.59x = 210.05 × 135.80
  4. Step 4: Simplify right side
    140.59x = 28,524.81
  5. Step 5: Solve for x
    x = 28,524.81/140.59
  6. Step 6: Final answer
    x = 202.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.