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Finding the Fourth Proportional to 403.14, 555.89 and 319.31

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Solution

The fourth proportional to 403.14, 555.89 and 319.31 is: 440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.14 : 555.89 = 319.31 : x
  2. Step 2: Convert to fraction form
    403.14/555.89 = 319.31/x
  3. Step 3: Cross multiply
    403.14x = 555.89 × 319.31
  4. Step 4: Simplify right side
    403.14x = 177,496.86
  5. Step 5: Solve for x
    x = 177,496.86/403.14
  6. Step 6: Final answer
    x = 440.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.