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Finding the Fourth Proportional to 212.75, 318.64 and 147.46

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Solution

The fourth proportional to 212.75, 318.64 and 147.46 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.75 : 318.64 = 147.46 : x
  2. Step 2: Convert to fraction form
    212.75/318.64 = 147.46/x
  3. Step 3: Cross multiply
    212.75x = 318.64 × 147.46
  4. Step 4: Simplify right side
    212.75x = 46,986.65
  5. Step 5: Solve for x
    x = 46,986.65/212.75
  6. Step 6: Final answer
    x = 220.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.