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Finding the Fourth Proportional to 388.40, 580.92 and 377.92

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Solution

The fourth proportional to 388.40, 580.92 and 377.92 is: 565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.40 : 580.92 = 377.92 : x
  2. Step 2: Convert to fraction form
    388.40/580.92 = 377.92/x
  3. Step 3: Cross multiply
    388.40x = 580.92 × 377.92
  4. Step 4: Simplify right side
    388.40x = 219,541.29
  5. Step 5: Solve for x
    x = 219,541.29/388.40
  6. Step 6: Final answer
    x = 565.25

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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.