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Finding the Fourth Proportional to 454.68, 682.56 and 238.68

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Solution

The fourth proportional to 454.68, 682.56 and 238.68 is: 358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 682.56 = 238.68 : x
  2. Step 2: Convert to fraction form
    454.68/682.56 = 238.68/x
  3. Step 3: Cross multiply
    454.68x = 682.56 × 238.68
  4. Step 4: Simplify right side
    454.68x = 162,913.42
  5. Step 5: Solve for x
    x = 162,913.42/454.68
  6. Step 6: Final answer
    x = 358.30

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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.