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Finding the Fourth Proportional to 142.56, 215.40 and 141.75

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Solution

The fourth proportional to 142.56, 215.40 and 141.75 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.56 : 215.40 = 141.75 : x
  2. Step 2: Convert to fraction form
    142.56/215.40 = 141.75/x
  3. Step 3: Cross multiply
    142.56x = 215.40 × 141.75
  4. Step 4: Simplify right side
    142.56x = 30,532.95
  5. Step 5: Solve for x
    x = 30,532.95/142.56
  6. Step 6: Final answer
    x = 214.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.