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Finding the Fourth Proportional to 454.49, 627.23 and 257.93

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Solution

The fourth proportional to 454.49, 627.23 and 257.93 is: 355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.49 : 627.23 = 257.93 : x
  2. Step 2: Convert to fraction form
    454.49/627.23 = 257.93/x
  3. Step 3: Cross multiply
    454.49x = 627.23 × 257.93
  4. Step 4: Simplify right side
    454.49x = 161,780.14
  5. Step 5: Solve for x
    x = 161,780.14/454.49
  6. Step 6: Final answer
    x = 355.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.