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Finding the Fourth Proportional to 209.16, 312.30 and 184.86

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Solution

The fourth proportional to 209.16, 312.30 and 184.86 is: 276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 312.30 = 184.86 : x
  2. Step 2: Convert to fraction form
    209.16/312.30 = 184.86/x
  3. Step 3: Cross multiply
    209.16x = 312.30 × 184.86
  4. Step 4: Simplify right side
    209.16x = 57,731.78
  5. Step 5: Solve for x
    x = 57,731.78/209.16
  6. Step 6: Final answer
    x = 276.02

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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.