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Finding the Fourth Proportional to 237.88, 358.38 and 217.84

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Solution

The fourth proportional to 237.88, 358.38 and 217.84 is: 328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.88 : 358.38 = 217.84 : x
  2. Step 2: Convert to fraction form
    237.88/358.38 = 217.84/x
  3. Step 3: Cross multiply
    237.88x = 358.38 × 217.84
  4. Step 4: Simplify right side
    237.88x = 78,069.50
  5. Step 5: Solve for x
    x = 78,069.50/237.88
  6. Step 6: Final answer
    x = 328.19

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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.