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Finding the Fourth Proportional to 472.27, 707.89 and 228.46

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Solution

The fourth proportional to 472.27, 707.89 and 228.46 is: 342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.27 : 707.89 = 228.46 : x
  2. Step 2: Convert to fraction form
    472.27/707.89 = 228.46/x
  3. Step 3: Cross multiply
    472.27x = 707.89 × 228.46
  4. Step 4: Simplify right side
    472.27x = 161,719.87
  5. Step 5: Solve for x
    x = 161,719.87/472.27
  6. Step 6: Final answer
    x = 342.43

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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.