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Finding the Fourth Proportional to 286.64, 430.17 and 104.19

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Solution

The fourth proportional to 286.64, 430.17 and 104.19 is: 156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 430.17 = 104.19 : x
  2. Step 2: Convert to fraction form
    286.64/430.17 = 104.19/x
  3. Step 3: Cross multiply
    286.64x = 430.17 × 104.19
  4. Step 4: Simplify right side
    286.64x = 44,819.41
  5. Step 5: Solve for x
    x = 44,819.41/286.64
  6. Step 6: Final answer
    x = 156.36

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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.