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Finding the Fourth Proportional to 433.04, 649.68 and 144.46

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Solution

The fourth proportional to 433.04, 649.68 and 144.46 is: 216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.04 : 649.68 = 144.46 : x
  2. Step 2: Convert to fraction form
    433.04/649.68 = 144.46/x
  3. Step 3: Cross multiply
    433.04x = 649.68 × 144.46
  4. Step 4: Simplify right side
    433.04x = 93,852.77
  5. Step 5: Solve for x
    x = 93,852.77/433.04
  6. Step 6: Final answer
    x = 216.73

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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.