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Finding the Fourth Proportional to 378.16, 564.20 and 341.92

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Solution

The fourth proportional to 378.16, 564.20 and 341.92 is: 510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.16 : 564.20 = 341.92 : x
  2. Step 2: Convert to fraction form
    378.16/564.20 = 341.92/x
  3. Step 3: Cross multiply
    378.16x = 564.20 × 341.92
  4. Step 4: Simplify right side
    378.16x = 192,911.26
  5. Step 5: Solve for x
    x = 192,911.26/378.16
  6. Step 6: Final answer
    x = 510.13

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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.