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Finding the Fourth Proportional to 659.37, 988.87 and 197.11

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Solution

The fourth proportional to 659.37, 988.87 and 197.11 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.37 : 988.87 = 197.11 : x
  2. Step 2: Convert to fraction form
    659.37/988.87 = 197.11/x
  3. Step 3: Cross multiply
    659.37x = 988.87 × 197.11
  4. Step 4: Simplify right side
    659.37x = 194,916.17
  5. Step 5: Solve for x
    x = 194,916.17/659.37
  6. Step 6: Final answer
    x = 295.61

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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.