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Finding the Fourth Proportional to 281.56, 421.52 and 232.35

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Solution

The fourth proportional to 281.56, 421.52 and 232.35 is: 347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.56 : 421.52 = 232.35 : x
  2. Step 2: Convert to fraction form
    281.56/421.52 = 232.35/x
  3. Step 3: Cross multiply
    281.56x = 421.52 × 232.35
  4. Step 4: Simplify right side
    281.56x = 97,941.11
  5. Step 5: Solve for x
    x = 97,941.11/281.56
  6. Step 6: Final answer
    x = 347.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.