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Finding the Fourth Proportional to 432.34, 647.90 and 188.73

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Solution

The fourth proportional to 432.34, 647.90 and 188.73 is: 282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.34 : 647.90 = 188.73 : x
  2. Step 2: Convert to fraction form
    432.34/647.90 = 188.73/x
  3. Step 3: Cross multiply
    432.34x = 647.90 × 188.73
  4. Step 4: Simplify right side
    432.34x = 122,277.93
  5. Step 5: Solve for x
    x = 122,277.93/432.34
  6. Step 6: Final answer
    x = 282.83

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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.