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Finding the Fourth Proportional to 342.47, 473.01 and 231.75

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Solution

The fourth proportional to 342.47, 473.01 and 231.75 is: 320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.47 : 473.01 = 231.75 : x
  2. Step 2: Convert to fraction form
    342.47/473.01 = 231.75/x
  3. Step 3: Cross multiply
    342.47x = 473.01 × 231.75
  4. Step 4: Simplify right side
    342.47x = 109,621.39
  5. Step 5: Solve for x
    x = 109,621.39/342.47
  6. Step 6: Final answer
    x = 320.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.