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Finding the Fourth Proportional to 142.80, 212.87 and 141.18

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Solution

The fourth proportional to 142.80, 212.87 and 141.18 is: 210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.80 : 212.87 = 141.18 : x
  2. Step 2: Convert to fraction form
    142.80/212.87 = 141.18/x
  3. Step 3: Cross multiply
    142.80x = 212.87 × 141.18
  4. Step 4: Simplify right side
    142.80x = 30,052.99
  5. Step 5: Solve for x
    x = 30,052.99/142.80
  6. Step 6: Final answer
    x = 210.46

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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.