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Finding the Fourth Proportional to 287.90, 431.27 and 133.61

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Solution

The fourth proportional to 287.90, 431.27 and 133.61 is: 200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.90 : 431.27 = 133.61 : x
  2. Step 2: Convert to fraction form
    287.90/431.27 = 133.61/x
  3. Step 3: Cross multiply
    287.90x = 431.27 × 133.61
  4. Step 4: Simplify right side
    287.90x = 57,623.40
  5. Step 5: Solve for x
    x = 57,623.40/287.90
  6. Step 6: Final answer
    x = 200.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.