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Finding the Fourth Proportional to 454.18, 626.75 and 257.69

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Solution

The fourth proportional to 454.18, 626.75 and 257.69 is: 355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.18 : 626.75 = 257.69 : x
  2. Step 2: Convert to fraction form
    454.18/626.75 = 257.69/x
  3. Step 3: Cross multiply
    454.18x = 626.75 × 257.69
  4. Step 4: Simplify right side
    454.18x = 161,507.21
  5. Step 5: Solve for x
    x = 161,507.21/454.18
  6. Step 6: Final answer
    x = 355.60

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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.