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Finding the Fourth Proportional to 435.71, 600.99 and 278.39

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Solution

The fourth proportional to 435.71, 600.99 and 278.39 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.71 : 600.99 = 278.39 : x
  2. Step 2: Convert to fraction form
    435.71/600.99 = 278.39/x
  3. Step 3: Cross multiply
    435.71x = 600.99 × 278.39
  4. Step 4: Simplify right side
    435.71x = 167,309.61
  5. Step 5: Solve for x
    x = 167,309.61/435.71
  6. Step 6: Final answer
    x = 383.99

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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.