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Finding the Fourth Proportional to 281.08, 421.57 and 75.65

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Solution

The fourth proportional to 281.08, 421.57 and 75.65 is: 113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.08 : 421.57 = 75.65 : x
  2. Step 2: Convert to fraction form
    281.08/421.57 = 75.65/x
  3. Step 3: Cross multiply
    281.08x = 421.57 × 75.65
  4. Step 4: Simplify right side
    281.08x = 31,889.47
  5. Step 5: Solve for x
    x = 31,889.47/281.08
  6. Step 6: Final answer
    x = 113.45

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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.