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Finding the Fourth Proportional to 237, 357.20 and 216.52

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Solution

The fourth proportional to 237, 357.20 and 216.52 is: 326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237 : 357.20 = 216.52 : x
  2. Step 2: Convert to fraction form
    237/357.20 = 216.52/x
  3. Step 3: Cross multiply
    237x = 357.20 × 216.52
  4. Step 4: Simplify right side
    237x = 77,340.94
  5. Step 5: Solve for x
    x = 77,340.94/237
  6. Step 6: Final answer
    x = 326.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.