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Finding the Fourth Proportional to 537.16, 805.86 and 212.53

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Solution

The fourth proportional to 537.16, 805.86 and 212.53 is: 318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.16 : 805.86 = 212.53 : x
  2. Step 2: Convert to fraction form
    537.16/805.86 = 212.53/x
  3. Step 3: Cross multiply
    537.16x = 805.86 × 212.53
  4. Step 4: Simplify right side
    537.16x = 171,269.43
  5. Step 5: Solve for x
    x = 171,269.43/537.16
  6. Step 6: Final answer
    x = 318.84

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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.