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Finding the Fourth Proportional to 536.96, 805.53 and 228.80

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Solution

The fourth proportional to 536.96, 805.53 and 228.80 is: 343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.96 : 805.53 = 228.80 : x
  2. Step 2: Convert to fraction form
    536.96/805.53 = 228.80/x
  3. Step 3: Cross multiply
    536.96x = 805.53 × 228.80
  4. Step 4: Simplify right side
    536.96x = 184,301.24
  5. Step 5: Solve for x
    x = 184,301.24/536.96
  6. Step 6: Final answer
    x = 343.23

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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.