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Finding the Fourth Proportional to 472.16, 651.46 and 272.94

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Solution

The fourth proportional to 472.16, 651.46 and 272.94 is: 376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 651.46 = 272.94 : x
  2. Step 2: Convert to fraction form
    472.16/651.46 = 272.94/x
  3. Step 3: Cross multiply
    472.16x = 651.46 × 272.94
  4. Step 4: Simplify right side
    472.16x = 177,809.49
  5. Step 5: Solve for x
    x = 177,809.49/472.16
  6. Step 6: Final answer
    x = 376.59

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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.