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Finding the Fourth Proportional to 140.40, 210.74 and 99.63

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Solution

The fourth proportional to 140.40, 210.74 and 99.63 is: 149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.40 : 210.74 = 99.63 : x
  2. Step 2: Convert to fraction form
    140.40/210.74 = 99.63/x
  3. Step 3: Cross multiply
    140.40x = 210.74 × 99.63
  4. Step 4: Simplify right side
    140.40x = 20,995.53
  5. Step 5: Solve for x
    x = 20,995.53/140.40
  6. Step 6: Final answer
    x = 149.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.