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Finding the Fourth Proportional to 209.34, 314.01 and 173.52

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Solution

The fourth proportional to 209.34, 314.01 and 173.52 is: 260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 314.01 = 173.52 : x
  2. Step 2: Convert to fraction form
    209.34/314.01 = 173.52/x
  3. Step 3: Cross multiply
    209.34x = 314.01 × 173.52
  4. Step 4: Simplify right side
    209.34x = 54,487.02
  5. Step 5: Solve for x
    x = 54,487.02/209.34
  6. Step 6: Final answer
    x = 260.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.