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Finding the Fourth Proportional to 536.86, 805.24 and 331.46

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Solution

The fourth proportional to 536.86, 805.24 and 331.46 is: 497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.86 : 805.24 = 331.46 : x
  2. Step 2: Convert to fraction form
    536.86/805.24 = 331.46/x
  3. Step 3: Cross multiply
    536.86x = 805.24 × 331.46
  4. Step 4: Simplify right side
    536.86x = 266,904.26
  5. Step 5: Solve for x
    x = 266,904.26/536.86
  6. Step 6: Final answer
    x = 497.16

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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.