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Finding the Fourth Proportional to 287.47, 430.90 and 133.17

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Solution

The fourth proportional to 287.47, 430.90 and 133.17 is: 199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.47 : 430.90 = 133.17 : x
  2. Step 2: Convert to fraction form
    287.47/430.90 = 133.17/x
  3. Step 3: Cross multiply
    287.47x = 430.90 × 133.17
  4. Step 4: Simplify right side
    287.47x = 57,382.95
  5. Step 5: Solve for x
    x = 57,382.95/287.47
  6. Step 6: Final answer
    x = 199.61

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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.