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Finding the Fourth Proportional to 472.98, 652.71 and 273.81

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Solution

The fourth proportional to 472.98, 652.71 and 273.81 is: 377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.98 : 652.71 = 273.81 : x
  2. Step 2: Convert to fraction form
    472.98/652.71 = 273.81/x
  3. Step 3: Cross multiply
    472.98x = 652.71 × 273.81
  4. Step 4: Simplify right side
    472.98x = 178,718.53
  5. Step 5: Solve for x
    x = 178,718.53/472.98
  6. Step 6: Final answer
    x = 377.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.