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Finding the Fourth Proportional to 314.95, 434.23 and 231.79

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Solution

The fourth proportional to 314.95, 434.23 and 231.79 is: 319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.95 : 434.23 = 231.79 : x
  2. Step 2: Convert to fraction form
    314.95/434.23 = 231.79/x
  3. Step 3: Cross multiply
    314.95x = 434.23 × 231.79
  4. Step 4: Simplify right side
    314.95x = 100,650.17
  5. Step 5: Solve for x
    x = 100,650.17/314.95
  6. Step 6: Final answer
    x = 319.58

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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.