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Finding the Fourth Proportional to 212.49, 317.31 and 184.86

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Solution

The fourth proportional to 212.49, 317.31 and 184.86 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.49 : 317.31 = 184.86 : x
  2. Step 2: Convert to fraction form
    212.49/317.31 = 184.86/x
  3. Step 3: Cross multiply
    212.49x = 317.31 × 184.86
  4. Step 4: Simplify right side
    212.49x = 58,657.93
  5. Step 5: Solve for x
    x = 58,657.93/212.49
  6. Step 6: Final answer
    x = 276.05

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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.