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Finding the Fourth Proportional to 375.31, 560.25 and 324.28

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Solution

The fourth proportional to 375.31, 560.25 and 324.28 is: 484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.31 : 560.25 = 324.28 : x
  2. Step 2: Convert to fraction form
    375.31/560.25 = 324.28/x
  3. Step 3: Cross multiply
    375.31x = 560.25 × 324.28
  4. Step 4: Simplify right side
    375.31x = 181,673.45
  5. Step 5: Solve for x
    x = 181,673.45/375.31
  6. Step 6: Final answer
    x = 484.07

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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.