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Finding the Fourth Proportional to 478.37, 660.12 and 301.42

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Solution

The fourth proportional to 478.37, 660.12 and 301.42 is: 415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.37 : 660.12 = 301.42 : x
  2. Step 2: Convert to fraction form
    478.37/660.12 = 301.42/x
  3. Step 3: Cross multiply
    478.37x = 660.12 × 301.42
  4. Step 4: Simplify right side
    478.37x = 198,973.37
  5. Step 5: Solve for x
    x = 198,973.37/478.37
  6. Step 6: Final answer
    x = 415.94

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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.