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Finding the Fourth Proportional to 287.64, 397.02 and 182.88

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Solution

The fourth proportional to 287.64, 397.02 and 182.88 is: 252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 397.02 = 182.88 : x
  2. Step 2: Convert to fraction form
    287.64/397.02 = 182.88/x
  3. Step 3: Cross multiply
    287.64x = 397.02 × 182.88
  4. Step 4: Simplify right side
    287.64x = 72,607.02
  5. Step 5: Solve for x
    x = 72,607.02/287.64
  6. Step 6: Final answer
    x = 252.42

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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.