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Finding the Fourth Proportional to 339.42, 470.54 and 328.08

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Solution

The fourth proportional to 339.42, 470.54 and 328.08 is: 454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.42 : 470.54 = 328.08 : x
  2. Step 2: Convert to fraction form
    339.42/470.54 = 328.08/x
  3. Step 3: Cross multiply
    339.42x = 470.54 × 328.08
  4. Step 4: Simplify right side
    339.42x = 154,377.35
  5. Step 5: Solve for x
    x = 154,377.35/339.42
  6. Step 6: Final answer
    x = 454.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.