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Finding the Fourth Proportional to 315.96, 470.78 and 301.98

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Solution

The fourth proportional to 315.96, 470.78 and 301.98 is: 449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 470.78 = 301.98 : x
  2. Step 2: Convert to fraction form
    315.96/470.78 = 301.98/x
  3. Step 3: Cross multiply
    315.96x = 470.78 × 301.98
  4. Step 4: Simplify right side
    315.96x = 142,166.14
  5. Step 5: Solve for x
    x = 142,166.14/315.96
  6. Step 6: Final answer
    x = 449.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.