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Finding the Fourth Proportional to 314.78, 433.76 and 298.31

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Solution

The fourth proportional to 314.78, 433.76 and 298.31 is: 411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.78 : 433.76 = 298.31 : x
  2. Step 2: Convert to fraction form
    314.78/433.76 = 298.31/x
  3. Step 3: Cross multiply
    314.78x = 433.76 × 298.31
  4. Step 4: Simplify right side
    314.78x = 129,391.29
  5. Step 5: Solve for x
    x = 129,391.29/314.78
  6. Step 6: Final answer
    x = 411.06

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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.