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Finding the Fourth Proportional to 339.60, 465.89 and 318.65

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Solution

The fourth proportional to 339.60, 465.89 and 318.65 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.60 : 465.89 = 318.65 : x
  2. Step 2: Convert to fraction form
    339.60/465.89 = 318.65/x
  3. Step 3: Cross multiply
    339.60x = 465.89 × 318.65
  4. Step 4: Simplify right side
    339.60x = 148,451.93
  5. Step 5: Solve for x
    x = 148,451.93/339.60
  6. Step 6: Final answer
    x = 437.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.