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Finding the Fourth Proportional to 471.76, 651.02 and 272.62

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Solution

The fourth proportional to 471.76, 651.02 and 272.62 is: 376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 651.02 = 272.62 : x
  2. Step 2: Convert to fraction form
    471.76/651.02 = 272.62/x
  3. Step 3: Cross multiply
    471.76x = 651.02 × 272.62
  4. Step 4: Simplify right side
    471.76x = 177,479.71
  5. Step 5: Solve for x
    x = 177,479.71/471.76
  6. Step 6: Final answer
    x = 376.21

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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.