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Finding the Fourth Proportional to 659.06, 989.16 and 269.28

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Solution

The fourth proportional to 659.06, 989.16 and 269.28 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.06 : 989.16 = 269.28 : x
  2. Step 2: Convert to fraction form
    659.06/989.16 = 269.28/x
  3. Step 3: Cross multiply
    659.06x = 989.16 × 269.28
  4. Step 4: Simplify right side
    659.06x = 266,354.71
  5. Step 5: Solve for x
    x = 266,354.71/659.06
  6. Step 6: Final answer
    x = 404.14

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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.