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Finding the Fourth Proportional to 508.31, 701.49 and 287.28

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Solution

The fourth proportional to 508.31, 701.49 and 287.28 is: 396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 701.49 = 287.28 : x
  2. Step 2: Convert to fraction form
    508.31/701.49 = 287.28/x
  3. Step 3: Cross multiply
    508.31x = 701.49 × 287.28
  4. Step 4: Simplify right side
    508.31x = 201,524.05
  5. Step 5: Solve for x
    x = 201,524.05/508.31
  6. Step 6: Final answer
    x = 396.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.