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Finding the Fourth Proportional to 281.38, 420.11 and 242.82

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Solution

The fourth proportional to 281.38, 420.11 and 242.82 is: 362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.38 : 420.11 = 242.82 : x
  2. Step 2: Convert to fraction form
    281.38/420.11 = 242.82/x
  3. Step 3: Cross multiply
    281.38x = 420.11 × 242.82
  4. Step 4: Simplify right side
    281.38x = 102,009.90
  5. Step 5: Solve for x
    x = 102,009.90/281.38
  6. Step 6: Final answer
    x = 362.53

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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.