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Finding the Fourth Proportional to 658.81, 988.19 and 268.69

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Solution

The fourth proportional to 658.81, 988.19 and 268.69 is: 403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.81 : 988.19 = 268.69 : x
  2. Step 2: Convert to fraction form
    658.81/988.19 = 268.69/x
  3. Step 3: Cross multiply
    658.81x = 988.19 × 268.69
  4. Step 4: Simplify right side
    658.81x = 265,513.67
  5. Step 5: Solve for x
    x = 265,513.67/658.81
  6. Step 6: Final answer
    x = 403.02

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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.