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Finding the Fourth Proportional to 535.34, 803.37 and 275.33

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Solution

The fourth proportional to 535.34, 803.37 and 275.33 is: 413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.34 : 803.37 = 275.33 : x
  2. Step 2: Convert to fraction form
    535.34/803.37 = 275.33/x
  3. Step 3: Cross multiply
    535.34x = 803.37 × 275.33
  4. Step 4: Simplify right side
    535.34x = 221,191.86
  5. Step 5: Solve for x
    x = 221,191.86/535.34
  6. Step 6: Final answer
    x = 413.18

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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.