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Finding the Fourth Proportional to 314.93, 434.53 and 209.90

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Solution

The fourth proportional to 314.93, 434.53 and 209.90 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.93 : 434.53 = 209.90 : x
  2. Step 2: Convert to fraction form
    314.93/434.53 = 209.90/x
  3. Step 3: Cross multiply
    314.93x = 434.53 × 209.90
  4. Step 4: Simplify right side
    314.93x = 91,207.85
  5. Step 5: Solve for x
    x = 91,207.85/314.93
  6. Step 6: Final answer
    x = 289.61

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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.