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Finding the Fourth Proportional to 209.54, 316.54 and 207.74

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Solution

The fourth proportional to 209.54, 316.54 and 207.74 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.54 : 316.54 = 207.74 : x
  2. Step 2: Convert to fraction form
    209.54/316.54 = 207.74/x
  3. Step 3: Cross multiply
    209.54x = 316.54 × 207.74
  4. Step 4: Simplify right side
    209.54x = 65,756.98
  5. Step 5: Solve for x
    x = 65,756.98/209.54
  6. Step 6: Final answer
    x = 313.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.