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Finding the Fourth Proportional to 418.51, 627.31 and 235.86

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Solution

The fourth proportional to 418.51, 627.31 and 235.86 is: 353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.51 : 627.31 = 235.86 : x
  2. Step 2: Convert to fraction form
    418.51/627.31 = 235.86/x
  3. Step 3: Cross multiply
    418.51x = 627.31 × 235.86
  4. Step 4: Simplify right side
    418.51x = 147,957.34
  5. Step 5: Solve for x
    x = 147,957.34/418.51
  6. Step 6: Final answer
    x = 353.53

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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.