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Finding the Fourth Proportional to 380.18, 567.80 and 319.29

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Solution

The fourth proportional to 380.18, 567.80 and 319.29 is: 476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.18 : 567.80 = 319.29 : x
  2. Step 2: Convert to fraction form
    380.18/567.80 = 319.29/x
  3. Step 3: Cross multiply
    380.18x = 567.80 × 319.29
  4. Step 4: Simplify right side
    380.18x = 181,291.27
  5. Step 5: Solve for x
    x = 181,291.27/380.18
  6. Step 6: Final answer
    x = 476.86

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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.