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Finding the Fourth Proportional to 259.56, 387.86 and 197.52

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Solution

The fourth proportional to 259.56, 387.86 and 197.52 is: 295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.56 : 387.86 = 197.52 : x
  2. Step 2: Convert to fraction form
    259.56/387.86 = 197.52/x
  3. Step 3: Cross multiply
    259.56x = 387.86 × 197.52
  4. Step 4: Simplify right side
    259.56x = 76,610.11
  5. Step 5: Solve for x
    x = 76,610.11/259.56
  6. Step 6: Final answer
    x = 295.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.