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Finding the Fourth Proportional to 555.41, 766.23 and 319.31

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Solution

The fourth proportional to 555.41, 766.23 and 319.31 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.41 : 766.23 = 319.31 : x
  2. Step 2: Convert to fraction form
    555.41/766.23 = 319.31/x
  3. Step 3: Cross multiply
    555.41x = 766.23 × 319.31
  4. Step 4: Simplify right side
    555.41x = 244,660.27
  5. Step 5: Solve for x
    x = 244,660.27/555.41
  6. Step 6: Final answer
    x = 440.50

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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.