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Finding the Fourth Proportional to 287.05, 429.89 and 156.86

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Solution

The fourth proportional to 287.05, 429.89 and 156.86 is: 234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.05 : 429.89 = 156.86 : x
  2. Step 2: Convert to fraction form
    287.05/429.89 = 156.86/x
  3. Step 3: Cross multiply
    287.05x = 429.89 × 156.86
  4. Step 4: Simplify right side
    287.05x = 67,431.33
  5. Step 5: Solve for x
    x = 67,431.33/287.05
  6. Step 6: Final answer
    x = 234.91

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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.