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Finding the Fourth Proportional to 286.62, 429.58 and 156.43

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Solution

The fourth proportional to 286.62, 429.58 and 156.43 is: 234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.62 : 429.58 = 156.43 : x
  2. Step 2: Convert to fraction form
    286.62/429.58 = 156.43/x
  3. Step 3: Cross multiply
    286.62x = 429.58 × 156.43
  4. Step 4: Simplify right side
    286.62x = 67,199.20
  5. Step 5: Solve for x
    x = 67,199.20/286.62
  6. Step 6: Final answer
    x = 234.45

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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.