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Finding the Fourth Proportional to 378.17, 564.72 and 296.09

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Solution

The fourth proportional to 378.17, 564.72 and 296.09 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.17 : 564.72 = 296.09 : x
  2. Step 2: Convert to fraction form
    378.17/564.72 = 296.09/x
  3. Step 3: Cross multiply
    378.17x = 564.72 × 296.09
  4. Step 4: Simplify right side
    378.17x = 167,205.12
  5. Step 5: Solve for x
    x = 167,205.12/378.17
  6. Step 6: Final answer
    x = 442.15

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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.