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Finding the Fourth Proportional to 212.06, 316.32 and 187.76

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Solution

The fourth proportional to 212.06, 316.32 and 187.76 is: 280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 316.32 = 187.76 : x
  2. Step 2: Convert to fraction form
    212.06/316.32 = 187.76/x
  3. Step 3: Cross multiply
    212.06x = 316.32 × 187.76
  4. Step 4: Simplify right side
    212.06x = 59,392.24
  5. Step 5: Solve for x
    x = 59,392.24/212.06
  6. Step 6: Final answer
    x = 280.07

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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.