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Finding the Fourth Proportional to 392.64, 545.09 and 380.76

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Solution

The fourth proportional to 392.64, 545.09 and 380.76 is: 528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 545.09 = 380.76 : x
  2. Step 2: Convert to fraction form
    392.64/545.09 = 380.76/x
  3. Step 3: Cross multiply
    392.64x = 545.09 × 380.76
  4. Step 4: Simplify right side
    392.64x = 207,548.47
  5. Step 5: Solve for x
    x = 207,548.47/392.64
  6. Step 6: Final answer
    x = 528.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.