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Finding the Fourth Proportional to 338.61, 506.49 and 313.99

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Solution

The fourth proportional to 338.61, 506.49 and 313.99 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 506.49 = 313.99 : x
  2. Step 2: Convert to fraction form
    338.61/506.49 = 313.99/x
  3. Step 3: Cross multiply
    338.61x = 506.49 × 313.99
  4. Step 4: Simplify right side
    338.61x = 159,032.80
  5. Step 5: Solve for x
    x = 159,032.80/338.61
  6. Step 6: Final answer
    x = 469.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.