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Finding the Fourth Proportional to 378.16, 564.91 and 320.11

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Solution

The fourth proportional to 378.16, 564.91 and 320.11 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.16 : 564.91 = 320.11 : x
  2. Step 2: Convert to fraction form
    378.16/564.91 = 320.11/x
  3. Step 3: Cross multiply
    378.16x = 564.91 × 320.11
  4. Step 4: Simplify right side
    378.16x = 180,833.34
  5. Step 5: Solve for x
    x = 180,833.34/378.16
  6. Step 6: Final answer
    x = 478.19

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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.