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Finding the Fourth Proportional to 339.58, 470.64 and 323.74

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Solution

The fourth proportional to 339.58, 470.64 and 323.74 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.58 : 470.64 = 323.74 : x
  2. Step 2: Convert to fraction form
    339.58/470.64 = 323.74/x
  3. Step 3: Cross multiply
    339.58x = 470.64 × 323.74
  4. Step 4: Simplify right side
    339.58x = 152,363.37
  5. Step 5: Solve for x
    x = 152,363.37/339.58
  6. Step 6: Final answer
    x = 448.68

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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.