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Finding the Fourth Proportional to 212.95, 293.70 and 147.66

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Solution

The fourth proportional to 212.95, 293.70 and 147.66 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.95 : 293.70 = 147.66 : x
  2. Step 2: Convert to fraction form
    212.95/293.70 = 147.66/x
  3. Step 3: Cross multiply
    212.95x = 293.70 × 147.66
  4. Step 4: Simplify right side
    212.95x = 43,367.74
  5. Step 5: Solve for x
    x = 43,367.74/212.95
  6. Step 6: Final answer
    x = 203.65

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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.