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Finding the Fourth Proportional to 287.60, 431.38 and 133.48

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Solution

The fourth proportional to 287.60, 431.38 and 133.48 is: 200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.60 : 431.38 = 133.48 : x
  2. Step 2: Convert to fraction form
    287.60/431.38 = 133.48/x
  3. Step 3: Cross multiply
    287.60x = 431.38 × 133.48
  4. Step 4: Simplify right side
    287.60x = 57,580.60
  5. Step 5: Solve for x
    x = 57,580.60/287.60
  6. Step 6: Final answer
    x = 200.21

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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.