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Finding the Fourth Proportional to 378.18, 564.35 and 337.28

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Solution

The fourth proportional to 378.18, 564.35 and 337.28 is: 503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.18 : 564.35 = 337.28 : x
  2. Step 2: Convert to fraction form
    378.18/564.35 = 337.28/x
  3. Step 3: Cross multiply
    378.18x = 564.35 × 337.28
  4. Step 4: Simplify right side
    378.18x = 190,339.46
  5. Step 5: Solve for x
    x = 190,339.46/378.18
  6. Step 6: Final answer
    x = 503.30

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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.