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Finding the Fourth Proportional to 535.94, 739.53 and 303.02

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Solution

The fourth proportional to 535.94, 739.53 and 303.02 is: 418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.94 : 739.53 = 303.02 : x
  2. Step 2: Convert to fraction form
    535.94/739.53 = 303.02/x
  3. Step 3: Cross multiply
    535.94x = 739.53 × 303.02
  4. Step 4: Simplify right side
    535.94x = 224,092.38
  5. Step 5: Solve for x
    x = 224,092.38/535.94
  6. Step 6: Final answer
    x = 418.13

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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.