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Finding the Fourth Proportional to 392.47, 588.53 and 197.35

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Solution

The fourth proportional to 392.47, 588.53 and 197.35 is: 295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.47 : 588.53 = 197.35 : x
  2. Step 2: Convert to fraction form
    392.47/588.53 = 197.35/x
  3. Step 3: Cross multiply
    392.47x = 588.53 × 197.35
  4. Step 4: Simplify right side
    392.47x = 116,146.66
  5. Step 5: Solve for x
    x = 116,146.66/392.47
  6. Step 6: Final answer
    x = 295.94

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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.