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Finding the Fourth Proportional to 399.06, 548.10 and 355.32

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Solution

The fourth proportional to 399.06, 548.10 and 355.32 is: 488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.06 : 548.10 = 355.32 : x
  2. Step 2: Convert to fraction form
    399.06/548.10 = 355.32/x
  3. Step 3: Cross multiply
    399.06x = 548.10 × 355.32
  4. Step 4: Simplify right side
    399.06x = 194,750.89
  5. Step 5: Solve for x
    x = 194,750.89/399.06
  6. Step 6: Final answer
    x = 488.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.