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Finding the Fourth Proportional to 535.50, 738.36 and 360.54

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Solution

The fourth proportional to 535.50, 738.36 and 360.54 is: 497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 738.36 = 360.54 : x
  2. Step 2: Convert to fraction form
    535.50/738.36 = 360.54/x
  3. Step 3: Cross multiply
    535.50x = 738.36 × 360.54
  4. Step 4: Simplify right side
    535.50x = 266,208.31
  5. Step 5: Solve for x
    x = 266,208.31/535.50
  6. Step 6: Final answer
    x = 497.12

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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.