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Finding the Fourth Proportional to 370.18, 557.32 and 327.09

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Solution

The fourth proportional to 370.18, 557.32 and 327.09 is: 492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.18 : 557.32 = 327.09 : x
  2. Step 2: Convert to fraction form
    370.18/557.32 = 327.09/x
  3. Step 3: Cross multiply
    370.18x = 557.32 × 327.09
  4. Step 4: Simplify right side
    370.18x = 182,292.98
  5. Step 5: Solve for x
    x = 182,292.98/370.18
  6. Step 6: Final answer
    x = 492.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.