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Finding the Fourth Proportional to 338.45, 508.80 and 278.03

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Solution

The fourth proportional to 338.45, 508.80 and 278.03 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.45 : 508.80 = 278.03 : x
  2. Step 2: Convert to fraction form
    338.45/508.80 = 278.03/x
  3. Step 3: Cross multiply
    338.45x = 508.80 × 278.03
  4. Step 4: Simplify right side
    338.45x = 141,461.66
  5. Step 5: Solve for x
    x = 141,461.66/338.45
  6. Step 6: Final answer
    x = 417.97

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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.