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Finding the Fourth Proportional to 433.12, 649.14 and 240.34

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Solution

The fourth proportional to 433.12, 649.14 and 240.34 is: 360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.12 : 649.14 = 240.34 : x
  2. Step 2: Convert to fraction form
    433.12/649.14 = 240.34/x
  3. Step 3: Cross multiply
    433.12x = 649.14 × 240.34
  4. Step 4: Simplify right side
    433.12x = 156,014.31
  5. Step 5: Solve for x
    x = 156,014.31/433.12
  6. Step 6: Final answer
    x = 360.21

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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.