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Finding the Fourth Proportional to 287.72, 397.14 and 182.86

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Solution

The fourth proportional to 287.72, 397.14 and 182.86 is: 252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.72 : 397.14 = 182.86 : x
  2. Step 2: Convert to fraction form
    287.72/397.14 = 182.86/x
  3. Step 3: Cross multiply
    287.72x = 397.14 × 182.86
  4. Step 4: Simplify right side
    287.72x = 72,621.02
  5. Step 5: Solve for x
    x = 72,621.02/287.72
  6. Step 6: Final answer
    x = 252.40

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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.