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Finding the Fourth Proportional to 287.44, 432.71 and 247.75

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Solution

The fourth proportional to 287.44, 432.71 and 247.75 is: 372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.44 : 432.71 = 247.75 : x
  2. Step 2: Convert to fraction form
    287.44/432.71 = 247.75/x
  3. Step 3: Cross multiply
    287.44x = 432.71 × 247.75
  4. Step 4: Simplify right side
    287.44x = 107,203.90
  5. Step 5: Solve for x
    x = 107,203.90/287.44
  6. Step 6: Final answer
    x = 372.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.