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Finding the Fourth Proportional to 212.59, 293.67 and 150.40

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Solution

The fourth proportional to 212.59, 293.67 and 150.40 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.59 : 293.67 = 150.40 : x
  2. Step 2: Convert to fraction form
    212.59/293.67 = 150.40/x
  3. Step 3: Cross multiply
    212.59x = 293.67 × 150.40
  4. Step 4: Simplify right side
    212.59x = 44,167.97
  5. Step 5: Solve for x
    x = 44,167.97/212.59
  6. Step 6: Final answer
    x = 207.76

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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.