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Finding the Fourth Proportional to 237.84, 358.80 and 221.43

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Solution

The fourth proportional to 237.84, 358.80 and 221.43 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 358.80 = 221.43 : x
  2. Step 2: Convert to fraction form
    237.84/358.80 = 221.43/x
  3. Step 3: Cross multiply
    237.84x = 358.80 × 221.43
  4. Step 4: Simplify right side
    237.84x = 79,451.47
  5. Step 5: Solve for x
    x = 79,451.47/237.84
  6. Step 6: Final answer
    x = 334.06

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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.