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Finding the Fourth Proportional to 474.52, 654.96 and 299.96

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Solution

The fourth proportional to 474.52, 654.96 and 299.96 is: 414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.52 : 654.96 = 299.96 : x
  2. Step 2: Convert to fraction form
    474.52/654.96 = 299.96/x
  3. Step 3: Cross multiply
    474.52x = 654.96 × 299.96
  4. Step 4: Simplify right side
    474.52x = 196,461.80
  5. Step 5: Solve for x
    x = 196,461.80/474.52
  6. Step 6: Final answer
    x = 414.02

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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.