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Finding the Fourth Proportional to 212.50, 319.84 and 181.18

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Solution

The fourth proportional to 212.50, 319.84 and 181.18 is: 272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.50 : 319.84 = 181.18 : x
  2. Step 2: Convert to fraction form
    212.50/319.84 = 181.18/x
  3. Step 3: Cross multiply
    212.50x = 319.84 × 181.18
  4. Step 4: Simplify right side
    212.50x = 57,948.61
  5. Step 5: Solve for x
    x = 57,948.61/212.50
  6. Step 6: Final answer
    x = 272.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.