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Finding the Fourth Proportional to 242.74, 334.86 and 144.46

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Solution

The fourth proportional to 242.74, 334.86 and 144.46 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.74 : 334.86 = 144.46 : x
  2. Step 2: Convert to fraction form
    242.74/334.86 = 144.46/x
  3. Step 3: Cross multiply
    242.74x = 334.86 × 144.46
  4. Step 4: Simplify right side
    242.74x = 48,373.88
  5. Step 5: Solve for x
    x = 48,373.88/242.74
  6. Step 6: Final answer
    x = 199.28

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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.