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Finding the Fourth Proportional to 314.84, 434.21 and 249.23

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Solution

The fourth proportional to 314.84, 434.21 and 249.23 is: 343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.84 : 434.21 = 249.23 : x
  2. Step 2: Convert to fraction form
    314.84/434.21 = 249.23/x
  3. Step 3: Cross multiply
    314.84x = 434.21 × 249.23
  4. Step 4: Simplify right side
    314.84x = 108,216.96
  5. Step 5: Solve for x
    x = 108,216.96/314.84
  6. Step 6: Final answer
    x = 343.72

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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.