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Finding the Fourth Proportional to 281.08, 387.84 and 242.20

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Solution

The fourth proportional to 281.08, 387.84 and 242.20 is: 334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.08 : 387.84 = 242.20 : x
  2. Step 2: Convert to fraction form
    281.08/387.84 = 242.20/x
  3. Step 3: Cross multiply
    281.08x = 387.84 × 242.20
  4. Step 4: Simplify right side
    281.08x = 93,934.85
  5. Step 5: Solve for x
    x = 93,934.85/281.08
  6. Step 6: Final answer
    x = 334.19

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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.