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Finding the Fourth Proportional to 287.62, 431.19 and 116.50

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Solution

The fourth proportional to 287.62, 431.19 and 116.50 is: 174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.62 : 431.19 = 116.50 : x
  2. Step 2: Convert to fraction form
    287.62/431.19 = 116.50/x
  3. Step 3: Cross multiply
    287.62x = 431.19 × 116.50
  4. Step 4: Simplify right side
    287.62x = 50,233.64
  5. Step 5: Solve for x
    x = 50,233.64/287.62
  6. Step 6: Final answer
    x = 174.65

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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.