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Finding the Fourth Proportional to 433.49, 649.73 and 260.06

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Solution

The fourth proportional to 433.49, 649.73 and 260.06 is: 389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.49 : 649.73 = 260.06 : x
  2. Step 2: Convert to fraction form
    433.49/649.73 = 260.06/x
  3. Step 3: Cross multiply
    433.49x = 649.73 × 260.06
  4. Step 4: Simplify right side
    433.49x = 168,964.23
  5. Step 5: Solve for x
    x = 168,964.23/433.49
  6. Step 6: Final answer
    x = 389.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.