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Finding the Fourth Proportional to 378.29, 564.33 and 373.43

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Solution

The fourth proportional to 378.29, 564.33 and 373.43 is: 557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.29 : 564.33 = 373.43 : x
  2. Step 2: Convert to fraction form
    378.29/564.33 = 373.43/x
  3. Step 3: Cross multiply
    378.29x = 564.33 × 373.43
  4. Step 4: Simplify right side
    378.29x = 210,737.75
  5. Step 5: Solve for x
    x = 210,737.75/378.29
  6. Step 6: Final answer
    x = 557.08

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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.