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Finding the Fourth Proportional to 433.07, 648.18 and 270.66

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Solution

The fourth proportional to 433.07, 648.18 and 270.66 is: 405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.07 : 648.18 = 270.66 : x
  2. Step 2: Convert to fraction form
    433.07/648.18 = 270.66/x
  3. Step 3: Cross multiply
    433.07x = 648.18 × 270.66
  4. Step 4: Simplify right side
    433.07x = 175,436.40
  5. Step 5: Solve for x
    x = 175,436.40/433.07
  6. Step 6: Final answer
    x = 405.10

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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.