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Finding the Fourth Proportional to 338.07, 465.84 and 278.40

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Solution

The fourth proportional to 338.07, 465.84 and 278.40 is: 383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.07 : 465.84 = 278.40 : x
  2. Step 2: Convert to fraction form
    338.07/465.84 = 278.40/x
  3. Step 3: Cross multiply
    338.07x = 465.84 × 278.40
  4. Step 4: Simplify right side
    338.07x = 129,689.86
  5. Step 5: Solve for x
    x = 129,689.86/338.07
  6. Step 6: Final answer
    x = 383.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.