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Finding the Fourth Proportional to 454.23, 626.49 and 288.54

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Solution

The fourth proportional to 454.23, 626.49 and 288.54 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.23 : 626.49 = 288.54 : x
  2. Step 2: Convert to fraction form
    454.23/626.49 = 288.54/x
  3. Step 3: Cross multiply
    454.23x = 626.49 × 288.54
  4. Step 4: Simplify right side
    454.23x = 180,767.42
  5. Step 5: Solve for x
    x = 180,767.42/454.23
  6. Step 6: Final answer
    x = 397.96

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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.