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Finding the Fourth Proportional to 245.82, 370.53 and 231.71

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Solution

The fourth proportional to 245.82, 370.53 and 231.71 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.82 : 370.53 = 231.71 : x
  2. Step 2: Convert to fraction form
    245.82/370.53 = 231.71/x
  3. Step 3: Cross multiply
    245.82x = 370.53 × 231.71
  4. Step 4: Simplify right side
    245.82x = 85,853.65
  5. Step 5: Solve for x
    x = 85,853.65/245.82
  6. Step 6: Final answer
    x = 349.25

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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.