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Finding the Fourth Proportional to 339.08, 505.57 and 315.96

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Solution

The fourth proportional to 339.08, 505.57 and 315.96 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.08 : 505.57 = 315.96 : x
  2. Step 2: Convert to fraction form
    339.08/505.57 = 315.96/x
  3. Step 3: Cross multiply
    339.08x = 505.57 × 315.96
  4. Step 4: Simplify right side
    339.08x = 159,739.90
  5. Step 5: Solve for x
    x = 159,739.90/339.08
  6. Step 6: Final answer
    x = 471.10

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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.