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Finding the Fourth Proportional to 314.52, 433.70 and 209.56

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Solution

The fourth proportional to 314.52, 433.70 and 209.56 is: 288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 433.70 = 209.56 : x
  2. Step 2: Convert to fraction form
    314.52/433.70 = 209.56/x
  3. Step 3: Cross multiply
    314.52x = 433.70 × 209.56
  4. Step 4: Simplify right side
    314.52x = 90,886.17
  5. Step 5: Solve for x
    x = 90,886.17/314.52
  6. Step 6: Final answer
    x = 288.97

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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.