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Finding the Fourth Proportional to 338.96, 506.36 and 284.28

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Solution

The fourth proportional to 338.96, 506.36 and 284.28 is: 424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 506.36 = 284.28 : x
  2. Step 2: Convert to fraction form
    338.96/506.36 = 284.28/x
  3. Step 3: Cross multiply
    338.96x = 506.36 × 284.28
  4. Step 4: Simplify right side
    338.96x = 143,948.02
  5. Step 5: Solve for x
    x = 143,948.02/338.96
  6. Step 6: Final answer
    x = 424.68

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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.