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Finding the Fourth Proportional to 454.65, 627.44 and 268.14

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Solution

The fourth proportional to 454.65, 627.44 and 268.14 is: 370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.65 : 627.44 = 268.14 : x
  2. Step 2: Convert to fraction form
    454.65/627.44 = 268.14/x
  3. Step 3: Cross multiply
    454.65x = 627.44 × 268.14
  4. Step 4: Simplify right side
    454.65x = 168,241.76
  5. Step 5: Solve for x
    x = 168,241.76/454.65
  6. Step 6: Final answer
    x = 370.05

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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.