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Finding the Fourth Proportional to 434.85, 599.80 and 268.90

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Solution

The fourth proportional to 434.85, 599.80 and 268.90 is: 370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.85 : 599.80 = 268.90 : x
  2. Step 2: Convert to fraction form
    434.85/599.80 = 268.90/x
  3. Step 3: Cross multiply
    434.85x = 599.80 × 268.90
  4. Step 4: Simplify right side
    434.85x = 161,284.88
  5. Step 5: Solve for x
    x = 161,284.88/434.85
  6. Step 6: Final answer
    x = 370.90

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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.