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Finding the Fourth Proportional to 287.32, 431.26 and 125.12

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Solution

The fourth proportional to 287.32, 431.26 and 125.12 is: 187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.32 : 431.26 = 125.12 : x
  2. Step 2: Convert to fraction form
    287.32/431.26 = 125.12/x
  3. Step 3: Cross multiply
    287.32x = 431.26 × 125.12
  4. Step 4: Simplify right side
    287.32x = 53,959.25
  5. Step 5: Solve for x
    x = 53,959.25/287.32
  6. Step 6: Final answer
    x = 187.80

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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.