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Finding the Fourth Proportional to 339.81, 469.32 and 229.74

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Solution

The fourth proportional to 339.81, 469.32 and 229.74 is: 317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.81 : 469.32 = 229.74 : x
  2. Step 2: Convert to fraction form
    339.81/469.32 = 229.74/x
  3. Step 3: Cross multiply
    339.81x = 469.32 × 229.74
  4. Step 4: Simplify right side
    339.81x = 107,821.58
  5. Step 5: Solve for x
    x = 107,821.58/339.81
  6. Step 6: Final answer
    x = 317.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.