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Finding the Fourth Proportional to 287.64, 431.21 and 114.43

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Solution

The fourth proportional to 287.64, 431.21 and 114.43 is: 171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 431.21 = 114.43 : x
  2. Step 2: Convert to fraction form
    287.64/431.21 = 114.43/x
  3. Step 3: Cross multiply
    287.64x = 431.21 × 114.43
  4. Step 4: Simplify right side
    287.64x = 49,343.38
  5. Step 5: Solve for x
    x = 49,343.38/287.64
  6. Step 6: Final answer
    x = 171.55

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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.