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Finding the Fourth Proportional to 334.38, 498.21 and 315.75

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Solution

The fourth proportional to 334.38, 498.21 and 315.75 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.38 : 498.21 = 315.75 : x
  2. Step 2: Convert to fraction form
    334.38/498.21 = 315.75/x
  3. Step 3: Cross multiply
    334.38x = 498.21 × 315.75
  4. Step 4: Simplify right side
    334.38x = 157,309.81
  5. Step 5: Solve for x
    x = 157,309.81/334.38
  6. Step 6: Final answer
    x = 470.45

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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.