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Finding the Fourth Proportional to 377.12, 564.72 and 296.48

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Solution

The fourth proportional to 377.12, 564.72 and 296.48 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.12 : 564.72 = 296.48 : x
  2. Step 2: Convert to fraction form
    377.12/564.72 = 296.48/x
  3. Step 3: Cross multiply
    377.12x = 564.72 × 296.48
  4. Step 4: Simplify right side
    377.12x = 167,428.19
  5. Step 5: Solve for x
    x = 167,428.19/377.12
  6. Step 6: Final answer
    x = 443.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.