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Finding the Fourth Proportional to 433.41, 649.23 and 294.15

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Solution

The fourth proportional to 433.41, 649.23 and 294.15 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.41 : 649.23 = 294.15 : x
  2. Step 2: Convert to fraction form
    433.41/649.23 = 294.15/x
  3. Step 3: Cross multiply
    433.41x = 649.23 × 294.15
  4. Step 4: Simplify right side
    433.41x = 190,971.00
  5. Step 5: Solve for x
    x = 190,971.00/433.41
  6. Step 6: Final answer
    x = 440.62

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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.