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Finding the Fourth Proportional to 474.96, 655.68 and 300.54

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Solution

The fourth proportional to 474.96, 655.68 and 300.54 is: 414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.96 : 655.68 = 300.54 : x
  2. Step 2: Convert to fraction form
    474.96/655.68 = 300.54/x
  3. Step 3: Cross multiply
    474.96x = 655.68 × 300.54
  4. Step 4: Simplify right side
    474.96x = 197,058.07
  5. Step 5: Solve for x
    x = 197,058.07/474.96
  6. Step 6: Final answer
    x = 414.89

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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.