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Finding the Fourth Proportional to 434.56, 599.86 and 277.30

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Solution

The fourth proportional to 434.56, 599.86 and 277.30 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.56 : 599.86 = 277.30 : x
  2. Step 2: Convert to fraction form
    434.56/599.86 = 277.30/x
  3. Step 3: Cross multiply
    434.56x = 599.86 × 277.30
  4. Step 4: Simplify right side
    434.56x = 166,341.18
  5. Step 5: Solve for x
    x = 166,341.18/434.56
  6. Step 6: Final answer
    x = 382.78

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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.