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Finding the Fourth Proportional to 433.35, 649.46 and 330.25

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Solution

The fourth proportional to 433.35, 649.46 and 330.25 is: 494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.35 : 649.46 = 330.25 : x
  2. Step 2: Convert to fraction form
    433.35/649.46 = 330.25/x
  3. Step 3: Cross multiply
    433.35x = 649.46 × 330.25
  4. Step 4: Simplify right side
    433.35x = 214,482.51
  5. Step 5: Solve for x
    x = 214,482.51/433.35
  6. Step 6: Final answer
    x = 494.95

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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.