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Finding the Fourth Proportional to 454.34, 679.97 and 281.12

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Solution

The fourth proportional to 454.34, 679.97 and 281.12 is: 420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.34 : 679.97 = 281.12 : x
  2. Step 2: Convert to fraction form
    454.34/679.97 = 281.12/x
  3. Step 3: Cross multiply
    454.34x = 679.97 × 281.12
  4. Step 4: Simplify right side
    454.34x = 191,148.36
  5. Step 5: Solve for x
    x = 191,148.36/454.34
  6. Step 6: Final answer
    x = 420.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.