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Finding the Fourth Proportional to 370.81, 555.78 and 233.65

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Solution

The fourth proportional to 370.81, 555.78 and 233.65 is: 350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.81 : 555.78 = 233.65 : x
  2. Step 2: Convert to fraction form
    370.81/555.78 = 233.65/x
  3. Step 3: Cross multiply
    370.81x = 555.78 × 233.65
  4. Step 4: Simplify right side
    370.81x = 129,858.00
  5. Step 5: Solve for x
    x = 129,858.00/370.81
  6. Step 6: Final answer
    x = 350.20

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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.