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Finding the Fourth Proportional to 286.42, 429.70 and 156.39

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Solution

The fourth proportional to 286.42, 429.70 and 156.39 is: 234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.42 : 429.70 = 156.39 : x
  2. Step 2: Convert to fraction form
    286.42/429.70 = 156.39/x
  3. Step 3: Cross multiply
    286.42x = 429.70 × 156.39
  4. Step 4: Simplify right side
    286.42x = 67,200.78
  5. Step 5: Solve for x
    x = 67,200.78/286.42
  6. Step 6: Final answer
    x = 234.62

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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.