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Finding the Fourth Proportional to 339.58, 505.98 and 324.65

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Solution

The fourth proportional to 339.58, 505.98 and 324.65 is: 483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.58 : 505.98 = 324.65 : x
  2. Step 2: Convert to fraction form
    339.58/505.98 = 324.65/x
  3. Step 3: Cross multiply
    339.58x = 505.98 × 324.65
  4. Step 4: Simplify right side
    339.58x = 164,267.67
  5. Step 5: Solve for x
    x = 164,267.67/339.58
  6. Step 6: Final answer
    x = 483.74

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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.