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Finding the Fourth Proportional to 312.26, 429.32 and 278.76

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Solution

The fourth proportional to 312.26, 429.32 and 278.76 is: 383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.26 : 429.32 = 278.76 : x
  2. Step 2: Convert to fraction form
    312.26/429.32 = 278.76/x
  3. Step 3: Cross multiply
    312.26x = 429.32 × 278.76
  4. Step 4: Simplify right side
    312.26x = 119,677.24
  5. Step 5: Solve for x
    x = 119,677.24/312.26
  6. Step 6: Final answer
    x = 383.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.