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Finding the Fourth Proportional to 378.66, 565.08 and 333.12

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Solution

The fourth proportional to 378.66, 565.08 and 333.12 is: 497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.66 : 565.08 = 333.12 : x
  2. Step 2: Convert to fraction form
    378.66/565.08 = 333.12/x
  3. Step 3: Cross multiply
    378.66x = 565.08 × 333.12
  4. Step 4: Simplify right side
    378.66x = 188,239.45
  5. Step 5: Solve for x
    x = 188,239.45/378.66
  6. Step 6: Final answer
    x = 497.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.