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Finding the Fourth Proportional to 314.34, 434.03 and 231.57

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Solution

The fourth proportional to 314.34, 434.03 and 231.57 is: 319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 434.03 = 231.57 : x
  2. Step 2: Convert to fraction form
    314.34/434.03 = 231.57/x
  3. Step 3: Cross multiply
    314.34x = 434.03 × 231.57
  4. Step 4: Simplify right side
    314.34x = 100,507.17
  5. Step 5: Solve for x
    x = 100,507.17/314.34
  6. Step 6: Final answer
    x = 319.74

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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.