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Finding the Fourth Proportional to 399.72, 552.20 and 316.56

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Solution

The fourth proportional to 399.72, 552.20 and 316.56 is: 437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.72 : 552.20 = 316.56 : x
  2. Step 2: Convert to fraction form
    399.72/552.20 = 316.56/x
  3. Step 3: Cross multiply
    399.72x = 552.20 × 316.56
  4. Step 4: Simplify right side
    399.72x = 174,804.43
  5. Step 5: Solve for x
    x = 174,804.43/399.72
  6. Step 6: Final answer
    x = 437.32

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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.