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Finding the Fourth Proportional to 472.44, 708.66 and 183.72

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Solution

The fourth proportional to 472.44, 708.66 and 183.72 is: 275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.44 : 708.66 = 183.72 : x
  2. Step 2: Convert to fraction form
    472.44/708.66 = 183.72/x
  3. Step 3: Cross multiply
    472.44x = 708.66 × 183.72
  4. Step 4: Simplify right side
    472.44x = 130,195.02
  5. Step 5: Solve for x
    x = 130,195.02/472.44
  6. Step 6: Final answer
    x = 275.58

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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.