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Finding the Fourth Proportional to 478.58, 660.40 and 301.55

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Solution

The fourth proportional to 478.58, 660.40 and 301.55 is: 416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.58 : 660.40 = 301.55 : x
  2. Step 2: Convert to fraction form
    478.58/660.40 = 301.55/x
  3. Step 3: Cross multiply
    478.58x = 660.40 × 301.55
  4. Step 4: Simplify right side
    478.58x = 199,143.12
  5. Step 5: Solve for x
    x = 199,143.12/478.58
  6. Step 6: Final answer
    x = 416.11

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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.