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Finding the Fourth Proportional to 287.64, 431.82 and 272.52

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Solution

The fourth proportional to 287.64, 431.82 and 272.52 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 431.82 = 272.52 : x
  2. Step 2: Convert to fraction form
    287.64/431.82 = 272.52/x
  3. Step 3: Cross multiply
    287.64x = 431.82 × 272.52
  4. Step 4: Simplify right side
    287.64x = 117,679.59
  5. Step 5: Solve for x
    x = 117,679.59/287.64
  6. Step 6: Final answer
    x = 409.12

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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.