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Finding the Fourth Proportional to 537.35, 805.67 and 354.20

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Solution

The fourth proportional to 537.35, 805.67 and 354.20 is: 531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.35 : 805.67 = 354.20 : x
  2. Step 2: Convert to fraction form
    537.35/805.67 = 354.20/x
  3. Step 3: Cross multiply
    537.35x = 805.67 × 354.20
  4. Step 4: Simplify right side
    537.35x = 285,362.51
  5. Step 5: Solve for x
    x = 285,362.51/537.35
  6. Step 6: Final answer
    x = 531.06

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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.