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Finding the Fourth Proportional to 281.34, 420.03 and 235.76

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Solution

The fourth proportional to 281.34, 420.03 and 235.76 is: 351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.34 : 420.03 = 235.76 : x
  2. Step 2: Convert to fraction form
    281.34/420.03 = 235.76/x
  3. Step 3: Cross multiply
    281.34x = 420.03 × 235.76
  4. Step 4: Simplify right side
    281.34x = 99,024.17
  5. Step 5: Solve for x
    x = 99,024.17/281.34
  6. Step 6: Final answer
    x = 351.97

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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.