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Finding the Fourth Proportional to 434.38, 599.71 and 279.40

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Solution

The fourth proportional to 434.38, 599.71 and 279.40 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.38 : 599.71 = 279.40 : x
  2. Step 2: Convert to fraction form
    434.38/599.71 = 279.40/x
  3. Step 3: Cross multiply
    434.38x = 599.71 × 279.40
  4. Step 4: Simplify right side
    434.38x = 167,558.97
  5. Step 5: Solve for x
    x = 167,558.97/434.38
  6. Step 6: Final answer
    x = 385.74

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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.