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Finding the Fourth Proportional to 314.38, 434.02 and 279.78

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Solution

The fourth proportional to 314.38, 434.02 and 279.78 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 434.02 = 279.78 : x
  2. Step 2: Convert to fraction form
    314.38/434.02 = 279.78/x
  3. Step 3: Cross multiply
    314.38x = 434.02 × 279.78
  4. Step 4: Simplify right side
    314.38x = 121,430.12
  5. Step 5: Solve for x
    x = 121,430.12/314.38
  6. Step 6: Final answer
    x = 386.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.