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Finding the Fourth Proportional to 345.81, 477.11 and 207.81

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Solution

The fourth proportional to 345.81, 477.11 and 207.81 is: 286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.81 : 477.11 = 207.81 : x
  2. Step 2: Convert to fraction form
    345.81/477.11 = 207.81/x
  3. Step 3: Cross multiply
    345.81x = 477.11 × 207.81
  4. Step 4: Simplify right side
    345.81x = 99,147.19
  5. Step 5: Solve for x
    x = 99,147.19/345.81
  6. Step 6: Final answer
    x = 286.71

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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.