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Finding the Fourth Proportional to 378.08, 564.22 and 337.08

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Solution

The fourth proportional to 378.08, 564.22 and 337.08 is: 503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 564.22 = 337.08 : x
  2. Step 2: Convert to fraction form
    378.08/564.22 = 337.08/x
  3. Step 3: Cross multiply
    378.08x = 564.22 × 337.08
  4. Step 4: Simplify right side
    378.08x = 190,187.28
  5. Step 5: Solve for x
    x = 190,187.28/378.08
  6. Step 6: Final answer
    x = 503.03

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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.