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Finding the Fourth Proportional to 387.16, 580.80 and 194.76

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Solution

The fourth proportional to 387.16, 580.80 and 194.76 is: 292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.16 : 580.80 = 194.76 : x
  2. Step 2: Convert to fraction form
    387.16/580.80 = 194.76/x
  3. Step 3: Cross multiply
    387.16x = 580.80 × 194.76
  4. Step 4: Simplify right side
    387.16x = 113,116.61
  5. Step 5: Solve for x
    x = 113,116.61/387.16
  6. Step 6: Final answer
    x = 292.17

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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.