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Finding the Fourth Proportional to 372.36, 557.73 and 310.80

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Solution

The fourth proportional to 372.36, 557.73 and 310.80 is: 465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.36 : 557.73 = 310.80 : x
  2. Step 2: Convert to fraction form
    372.36/557.73 = 310.80/x
  3. Step 3: Cross multiply
    372.36x = 557.73 × 310.80
  4. Step 4: Simplify right side
    372.36x = 173,342.48
  5. Step 5: Solve for x
    x = 173,342.48/372.36
  6. Step 6: Final answer
    x = 465.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.