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Finding the Fourth Proportional to 537.02, 804.21 and 262.23

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Solution

The fourth proportional to 537.02, 804.21 and 262.23 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.02 : 804.21 = 262.23 : x
  2. Step 2: Convert to fraction form
    537.02/804.21 = 262.23/x
  3. Step 3: Cross multiply
    537.02x = 804.21 × 262.23
  4. Step 4: Simplify right side
    537.02x = 210,887.99
  5. Step 5: Solve for x
    x = 210,887.99/537.02
  6. Step 6: Final answer
    x = 392.70

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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.