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Finding the Fourth Proportional to 237.68, 326.53 and 214.28

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Solution

The fourth proportional to 237.68, 326.53 and 214.28 is: 294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.68 : 326.53 = 214.28 : x
  2. Step 2: Convert to fraction form
    237.68/326.53 = 214.28/x
  3. Step 3: Cross multiply
    237.68x = 326.53 × 214.28
  4. Step 4: Simplify right side
    237.68x = 69,968.85
  5. Step 5: Solve for x
    x = 69,968.85/237.68
  6. Step 6: Final answer
    x = 294.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.