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Finding the Fourth Proportional to 315.93, 470.70 and 300.44

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Solution

The fourth proportional to 315.93, 470.70 and 300.44 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 470.70 = 300.44 : x
  2. Step 2: Convert to fraction form
    315.93/470.70 = 300.44/x
  3. Step 3: Cross multiply
    315.93x = 470.70 × 300.44
  4. Step 4: Simplify right side
    315.93x = 141,415.61
  5. Step 5: Solve for x
    x = 141,415.61/315.93
  6. Step 6: Final answer
    x = 447.62

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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.