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Finding the Fourth Proportional to 375.43, 560.30 and 365.71

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Solution

The fourth proportional to 375.43, 560.30 and 365.71 is: 545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.43 : 560.30 = 365.71 : x
  2. Step 2: Convert to fraction form
    375.43/560.30 = 365.71/x
  3. Step 3: Cross multiply
    375.43x = 560.30 × 365.71
  4. Step 4: Simplify right side
    375.43x = 204,906.83
  5. Step 5: Solve for x
    x = 204,906.83/375.43
  6. Step 6: Final answer
    x = 545.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.