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Finding the Fourth Proportional to 316.37, 473.72 and 272.23

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Solution

The fourth proportional to 316.37, 473.72 and 272.23 is: 407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.37 : 473.72 = 272.23 : x
  2. Step 2: Convert to fraction form
    316.37/473.72 = 272.23/x
  3. Step 3: Cross multiply
    316.37x = 473.72 × 272.23
  4. Step 4: Simplify right side
    316.37x = 128,958.25
  5. Step 5: Solve for x
    x = 128,958.25/316.37
  6. Step 6: Final answer
    x = 407.62

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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.