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Finding the Fourth Proportional to 658.09, 986.52 and 224.94

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Solution

The fourth proportional to 658.09, 986.52 and 224.94 is: 337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.09 : 986.52 = 224.94 : x
  2. Step 2: Convert to fraction form
    658.09/986.52 = 224.94/x
  3. Step 3: Cross multiply
    658.09x = 986.52 × 224.94
  4. Step 4: Simplify right side
    658.09x = 221,907.81
  5. Step 5: Solve for x
    x = 221,907.81/658.09
  6. Step 6: Final answer
    x = 337.20

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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.