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Finding the Fourth Proportional to 360.98, 538.52 and 356.37

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Solution

The fourth proportional to 360.98, 538.52 and 356.37 is: 531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.98 : 538.52 = 356.37 : x
  2. Step 2: Convert to fraction form
    360.98/538.52 = 356.37/x
  3. Step 3: Cross multiply
    360.98x = 538.52 × 356.37
  4. Step 4: Simplify right side
    360.98x = 191,910.59
  5. Step 5: Solve for x
    x = 191,910.59/360.98
  6. Step 6: Final answer
    x = 531.65

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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.