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Finding the Fourth Proportional to 433.12, 648.30 and 340.42

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Solution

The fourth proportional to 433.12, 648.30 and 340.42 is: 509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.12 : 648.30 = 340.42 : x
  2. Step 2: Convert to fraction form
    433.12/648.30 = 340.42/x
  3. Step 3: Cross multiply
    433.12x = 648.30 × 340.42
  4. Step 4: Simplify right side
    433.12x = 220,694.29
  5. Step 5: Solve for x
    x = 220,694.29/433.12
  6. Step 6: Final answer
    x = 509.55

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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.