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Finding the Fourth Proportional to 537.86, 808.42 and 356.34

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Solution

The fourth proportional to 537.86, 808.42 and 356.34 is: 535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.86 : 808.42 = 356.34 : x
  2. Step 2: Convert to fraction form
    537.86/808.42 = 356.34/x
  3. Step 3: Cross multiply
    537.86x = 808.42 × 356.34
  4. Step 4: Simplify right side
    537.86x = 288,072.38
  5. Step 5: Solve for x
    x = 288,072.38/537.86
  6. Step 6: Final answer
    x = 535.59

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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.