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Finding the Fourth Proportional to 140.31, 210.71 and 116.31

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Solution

The fourth proportional to 140.31, 210.71 and 116.31 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.31 : 210.71 = 116.31 : x
  2. Step 2: Convert to fraction form
    140.31/210.71 = 116.31/x
  3. Step 3: Cross multiply
    140.31x = 210.71 × 116.31
  4. Step 4: Simplify right side
    140.31x = 24,507.68
  5. Step 5: Solve for x
    x = 24,507.68/140.31
  6. Step 6: Final answer
    x = 174.67

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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.