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Finding the Fourth Proportional to 209.17, 313.47 and 93.65

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Solution

The fourth proportional to 209.17, 313.47 and 93.65 is: 140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.17 : 313.47 = 93.65 : x
  2. Step 2: Convert to fraction form
    209.17/313.47 = 93.65/x
  3. Step 3: Cross multiply
    209.17x = 313.47 × 93.65
  4. Step 4: Simplify right side
    209.17x = 29,356.47
  5. Step 5: Solve for x
    x = 29,356.47/209.17
  6. Step 6: Final answer
    x = 140.35

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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.