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Finding the Fourth Proportional to 395.48, 589.88 and 334.19

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Solution

The fourth proportional to 395.48, 589.88 and 334.19 is: 498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.48 : 589.88 = 334.19 : x
  2. Step 2: Convert to fraction form
    395.48/589.88 = 334.19/x
  3. Step 3: Cross multiply
    395.48x = 589.88 × 334.19
  4. Step 4: Simplify right side
    395.48x = 197,134.31
  5. Step 5: Solve for x
    x = 197,134.31/395.48
  6. Step 6: Final answer
    x = 498.47

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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.