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Finding the Fourth Proportional to 314.66, 433.82 and 209.76

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Solution

The fourth proportional to 314.66, 433.82 and 209.76 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.66 : 433.82 = 209.76 : x
  2. Step 2: Convert to fraction form
    314.66/433.82 = 209.76/x
  3. Step 3: Cross multiply
    314.66x = 433.82 × 209.76
  4. Step 4: Simplify right side
    314.66x = 90,998.08
  5. Step 5: Solve for x
    x = 90,998.08/314.66
  6. Step 6: Final answer
    x = 289.19

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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.