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Finding the Fourth Proportional to 288.69, 432.77 and 197.61

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Solution

The fourth proportional to 288.69, 432.77 and 197.61 is: 296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.69 : 432.77 = 197.61 : x
  2. Step 2: Convert to fraction form
    288.69/432.77 = 197.61/x
  3. Step 3: Cross multiply
    288.69x = 432.77 × 197.61
  4. Step 4: Simplify right side
    288.69x = 85,518.69
  5. Step 5: Solve for x
    x = 85,518.69/288.69
  6. Step 6: Final answer
    x = 296.23

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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.