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Finding the Fourth Proportional to 419.68, 627.96 and 237.22

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Solution

The fourth proportional to 419.68, 627.96 and 237.22 is: 354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 627.96 = 237.22 : x
  2. Step 2: Convert to fraction form
    419.68/627.96 = 237.22/x
  3. Step 3: Cross multiply
    419.68x = 627.96 × 237.22
  4. Step 4: Simplify right side
    419.68x = 148,964.67
  5. Step 5: Solve for x
    x = 148,964.67/419.68
  6. Step 6: Final answer
    x = 354.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.