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Finding the Fourth Proportional to 378.12, 570.33 and 333.03

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Solution

The fourth proportional to 378.12, 570.33 and 333.03 is: 502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.12 : 570.33 = 333.03 : x
  2. Step 2: Convert to fraction form
    378.12/570.33 = 333.03/x
  3. Step 3: Cross multiply
    378.12x = 570.33 × 333.03
  4. Step 4: Simplify right side
    378.12x = 189,937.00
  5. Step 5: Solve for x
    x = 189,937.00/378.12
  6. Step 6: Final answer
    x = 502.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.