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Finding the Fourth Proportional to 375.81, 564.08 and 231.81

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Solution

The fourth proportional to 375.81, 564.08 and 231.81 is: 347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.81 : 564.08 = 231.81 : x
  2. Step 2: Convert to fraction form
    375.81/564.08 = 231.81/x
  3. Step 3: Cross multiply
    375.81x = 564.08 × 231.81
  4. Step 4: Simplify right side
    375.81x = 130,758.23
  5. Step 5: Solve for x
    x = 130,758.23/375.81
  6. Step 6: Final answer
    x = 347.94

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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.