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Finding the Fourth Proportional to 339, 505.41 and 318.35

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Solution

The fourth proportional to 339, 505.41 and 318.35 is: 474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339 : 505.41 = 318.35 : x
  2. Step 2: Convert to fraction form
    339/505.41 = 318.35/x
  3. Step 3: Cross multiply
    339x = 505.41 × 318.35
  4. Step 4: Simplify right side
    339x = 160,894.75
  5. Step 5: Solve for x
    x = 160,894.75/339
  6. Step 6: Final answer
    x = 474.62

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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.