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Finding the Fourth Proportional to 209.12, 312.56 and 176.72

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Solution

The fourth proportional to 209.12, 312.56 and 176.72 is: 264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.12 : 312.56 = 176.72 : x
  2. Step 2: Convert to fraction form
    209.12/312.56 = 176.72/x
  3. Step 3: Cross multiply
    209.12x = 312.56 × 176.72
  4. Step 4: Simplify right side
    209.12x = 55,235.60
  5. Step 5: Solve for x
    x = 55,235.60/209.12
  6. Step 6: Final answer
    x = 264.13

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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.