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Finding the Fourth Proportional to 399.76, 552.04 and 317.20

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Solution

The fourth proportional to 399.76, 552.04 and 317.20 is: 438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.76 : 552.04 = 317.20 : x
  2. Step 2: Convert to fraction form
    399.76/552.04 = 317.20/x
  3. Step 3: Cross multiply
    399.76x = 552.04 × 317.20
  4. Step 4: Simplify right side
    399.76x = 175,107.09
  5. Step 5: Solve for x
    x = 175,107.09/399.76
  6. Step 6: Final answer
    x = 438.03

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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.