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Finding the Fourth Proportional to 659.34, 989.18 and 197.13

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Solution

The fourth proportional to 659.34, 989.18 and 197.13 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.34 : 989.18 = 197.13 : x
  2. Step 2: Convert to fraction form
    659.34/989.18 = 197.13/x
  3. Step 3: Cross multiply
    659.34x = 989.18 × 197.13
  4. Step 4: Simplify right side
    659.34x = 194,996.07
  5. Step 5: Solve for x
    x = 194,996.07/659.34
  6. Step 6: Final answer
    x = 295.74

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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.