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Finding the Fourth Proportional to 249.84, 374.82 and 85.32

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Solution

The fourth proportional to 249.84, 374.82 and 85.32 is: 128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 374.82 = 85.32 : x
  2. Step 2: Convert to fraction form
    249.84/374.82 = 85.32/x
  3. Step 3: Cross multiply
    249.84x = 374.82 × 85.32
  4. Step 4: Simplify right side
    249.84x = 31,979.64
  5. Step 5: Solve for x
    x = 31,979.64/249.84
  6. Step 6: Final answer
    x = 128.00

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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.