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Finding the Fourth Proportional to 269.65, 404.50 and 96.30

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Solution

The fourth proportional to 269.65, 404.50 and 96.30 is: 144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.65 : 404.50 = 96.30 : x
  2. Step 2: Convert to fraction form
    269.65/404.50 = 96.30/x
  3. Step 3: Cross multiply
    269.65x = 404.50 × 96.30
  4. Step 4: Simplify right side
    269.65x = 38,953.35
  5. Step 5: Solve for x
    x = 38,953.35/269.65
  6. Step 6: Final answer
    x = 144.46

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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.