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Finding the Fourth Proportional to 242.05, 334.20 and 158.17

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Solution

The fourth proportional to 242.05, 334.20 and 158.17 is: 218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.05 : 334.20 = 158.17 : x
  2. Step 2: Convert to fraction form
    242.05/334.20 = 158.17/x
  3. Step 3: Cross multiply
    242.05x = 334.20 × 158.17
  4. Step 4: Simplify right side
    242.05x = 52,860.41
  5. Step 5: Solve for x
    x = 52,860.41/242.05
  6. Step 6: Final answer
    x = 218.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.