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Finding the Fourth Proportional to 209.27, 312.28 and 207.45

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Solution

The fourth proportional to 209.27, 312.28 and 207.45 is: 309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.27 : 312.28 = 207.45 : x
  2. Step 2: Convert to fraction form
    209.27/312.28 = 207.45/x
  3. Step 3: Cross multiply
    209.27x = 312.28 × 207.45
  4. Step 4: Simplify right side
    209.27x = 64,782.49
  5. Step 5: Solve for x
    x = 64,782.49/209.27
  6. Step 6: Final answer
    x = 309.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.