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Finding the Fourth Proportional to 370.17, 555.64 and 327.13

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Solution

The fourth proportional to 370.17, 555.64 and 327.13 is: 491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.17 : 555.64 = 327.13 : x
  2. Step 2: Convert to fraction form
    370.17/555.64 = 327.13/x
  3. Step 3: Cross multiply
    370.17x = 555.64 × 327.13
  4. Step 4: Simplify right side
    370.17x = 181,764.31
  5. Step 5: Solve for x
    x = 181,764.31/370.17
  6. Step 6: Final answer
    x = 491.03

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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.