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Finding the Fourth Proportional to 314.70, 432.26 and 278.70

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Solution

The fourth proportional to 314.70, 432.26 and 278.70 is: 382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 432.26 = 278.70 : x
  2. Step 2: Convert to fraction form
    314.70/432.26 = 278.70/x
  3. Step 3: Cross multiply
    314.70x = 432.26 × 278.70
  4. Step 4: Simplify right side
    314.70x = 120,470.86
  5. Step 5: Solve for x
    x = 120,470.86/314.70
  6. Step 6: Final answer
    x = 382.81

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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.