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Finding the Fourth Proportional to 472.12, 708.63 and 228.81

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Solution

The fourth proportional to 472.12, 708.63 and 228.81 is: 343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 708.63 = 228.81 : x
  2. Step 2: Convert to fraction form
    472.12/708.63 = 228.81/x
  3. Step 3: Cross multiply
    472.12x = 708.63 × 228.81
  4. Step 4: Simplify right side
    472.12x = 162,141.63
  5. Step 5: Solve for x
    x = 162,141.63/472.12
  6. Step 6: Final answer
    x = 343.43

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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.