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Finding the Fourth Proportional to 658.20, 986.90 and 311.06

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Solution

The fourth proportional to 658.20, 986.90 and 311.06 is: 466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.20 : 986.90 = 311.06 : x
  2. Step 2: Convert to fraction form
    658.20/986.90 = 311.06/x
  3. Step 3: Cross multiply
    658.20x = 986.90 × 311.06
  4. Step 4: Simplify right side
    658.20x = 306,985.11
  5. Step 5: Solve for x
    x = 306,985.11/658.20
  6. Step 6: Final answer
    x = 466.40

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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.