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Finding the Fourth Proportional to 237.15, 326.77 and 212.51

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Solution

The fourth proportional to 237.15, 326.77 and 212.51 is: 292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.15 : 326.77 = 212.51 : x
  2. Step 2: Convert to fraction form
    237.15/326.77 = 212.51/x
  3. Step 3: Cross multiply
    237.15x = 326.77 × 212.51
  4. Step 4: Simplify right side
    237.15x = 69,442.18
  5. Step 5: Solve for x
    x = 69,442.18/237.15
  6. Step 6: Final answer
    x = 292.82

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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.