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Finding the Fourth Proportional to 360.72, 537.39 and 343.31

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Solution

The fourth proportional to 360.72, 537.39 and 343.31 is: 511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.72 : 537.39 = 343.31 : x
  2. Step 2: Convert to fraction form
    360.72/537.39 = 343.31/x
  3. Step 3: Cross multiply
    360.72x = 537.39 × 343.31
  4. Step 4: Simplify right side
    360.72x = 184,488.67
  5. Step 5: Solve for x
    x = 184,488.67/360.72
  6. Step 6: Final answer
    x = 511.45

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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.