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Finding the Fourth Proportional to 434.71, 599.61 and 277.39

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Solution

The fourth proportional to 434.71, 599.61 and 277.39 is: 382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.71 : 599.61 = 277.39 : x
  2. Step 2: Convert to fraction form
    434.71/599.61 = 277.39/x
  3. Step 3: Cross multiply
    434.71x = 599.61 × 277.39
  4. Step 4: Simplify right side
    434.71x = 166,325.82
  5. Step 5: Solve for x
    x = 166,325.82/434.71
  6. Step 6: Final answer
    x = 382.61

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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.