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Finding the Fourth Proportional to 315.31, 470.19 and 308.34

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Solution

The fourth proportional to 315.31, 470.19 and 308.34 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.31 : 470.19 = 308.34 : x
  2. Step 2: Convert to fraction form
    315.31/470.19 = 308.34/x
  3. Step 3: Cross multiply
    315.31x = 470.19 × 308.34
  4. Step 4: Simplify right side
    315.31x = 144,978.38
  5. Step 5: Solve for x
    x = 144,978.38/315.31
  6. Step 6: Final answer
    x = 459.80

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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.