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Finding the Fourth Proportional to 142.16, 211.75 and 140.27

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Solution

The fourth proportional to 142.16, 211.75 and 140.27 is: 208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 211.75 = 140.27 : x
  2. Step 2: Convert to fraction form
    142.16/211.75 = 140.27/x
  3. Step 3: Cross multiply
    142.16x = 211.75 × 140.27
  4. Step 4: Simplify right side
    142.16x = 29,700.76
  5. Step 5: Solve for x
    x = 29,700.76/142.16
  6. Step 6: Final answer
    x = 208.93

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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.