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Finding the Fourth Proportional to 346.92, 477.33 and 300.14

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Solution

The fourth proportional to 346.92, 477.33 and 300.14 is: 412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.92 : 477.33 = 300.14 : x
  2. Step 2: Convert to fraction form
    346.92/477.33 = 300.14/x
  3. Step 3: Cross multiply
    346.92x = 477.33 × 300.14
  4. Step 4: Simplify right side
    346.92x = 143,265.83
  5. Step 5: Solve for x
    x = 143,265.83/346.92
  6. Step 6: Final answer
    x = 412.97

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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.