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Finding the Fourth Proportional to 212.96, 317.90 and 184.26

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Solution

The fourth proportional to 212.96, 317.90 and 184.26 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 317.90 = 184.26 : x
  2. Step 2: Convert to fraction form
    212.96/317.90 = 184.26/x
  3. Step 3: Cross multiply
    212.96x = 317.90 × 184.26
  4. Step 4: Simplify right side
    212.96x = 58,575.33
  5. Step 5: Solve for x
    x = 58,575.33/212.96
  6. Step 6: Final answer
    x = 275.05

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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.