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Finding the Fourth Proportional to 212.10, 293.67 and 185.10

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Solution

The fourth proportional to 212.10, 293.67 and 185.10 is: 256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 293.67 = 185.10 : x
  2. Step 2: Convert to fraction form
    212.10/293.67 = 185.10/x
  3. Step 3: Cross multiply
    212.10x = 293.67 × 185.10
  4. Step 4: Simplify right side
    212.10x = 54,358.32
  5. Step 5: Solve for x
    x = 54,358.32/212.10
  6. Step 6: Final answer
    x = 256.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.