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Finding the Fourth Proportional to 140.16, 208.76 and 138.57

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Solution

The fourth proportional to 140.16, 208.76 and 138.57 is: 206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.16 : 208.76 = 138.57 : x
  2. Step 2: Convert to fraction form
    140.16/208.76 = 138.57/x
  3. Step 3: Cross multiply
    140.16x = 208.76 × 138.57
  4. Step 4: Simplify right side
    140.16x = 28,926.40
  5. Step 5: Solve for x
    x = 28,926.40/140.16
  6. Step 6: Final answer
    x = 206.38

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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.