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Finding the Fourth Proportional to 142.42, 212.59 and 108.02

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Solution

The fourth proportional to 142.42, 212.59 and 108.02 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 212.59 = 108.02 : x
  2. Step 2: Convert to fraction form
    142.42/212.59 = 108.02/x
  3. Step 3: Cross multiply
    142.42x = 212.59 × 108.02
  4. Step 4: Simplify right side
    142.42x = 22,963.88
  5. Step 5: Solve for x
    x = 22,963.88/142.42
  6. Step 6: Final answer
    x = 161.24

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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.