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Finding the Fourth Proportional to 536.66, 804.99 and 228.43

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Solution

The fourth proportional to 536.66, 804.99 and 228.43 is: 342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.66 : 804.99 = 228.43 : x
  2. Step 2: Convert to fraction form
    536.66/804.99 = 228.43/x
  3. Step 3: Cross multiply
    536.66x = 804.99 × 228.43
  4. Step 4: Simplify right side
    536.66x = 183,882.18
  5. Step 5: Solve for x
    x = 183,882.18/536.66
  6. Step 6: Final answer
    x = 342.64

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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.