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Finding the Fourth Proportional to 478.46, 660.66 and 301.70

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Solution

The fourth proportional to 478.46, 660.66 and 301.70 is: 416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.46 : 660.66 = 301.70 : x
  2. Step 2: Convert to fraction form
    478.46/660.66 = 301.70/x
  3. Step 3: Cross multiply
    478.46x = 660.66 × 301.70
  4. Step 4: Simplify right side
    478.46x = 199,323.34
  5. Step 5: Solve for x
    x = 199,323.34/478.46
  6. Step 6: Final answer
    x = 416.60

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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.