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Finding the Fourth Proportional to 472.12, 708.22 and 183.56

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Solution

The fourth proportional to 472.12, 708.22 and 183.56 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 708.22 = 183.56 : x
  2. Step 2: Convert to fraction form
    472.12/708.22 = 183.56/x
  3. Step 3: Cross multiply
    472.12x = 708.22 × 183.56
  4. Step 4: Simplify right side
    472.12x = 130,000.86
  5. Step 5: Solve for x
    x = 130,000.86/472.12
  6. Step 6: Final answer
    x = 275.36

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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.