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Finding the Fourth Proportional to 345.96, 477.09 and 263.07

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Solution

The fourth proportional to 345.96, 477.09 and 263.07 is: 362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.96 : 477.09 = 263.07 : x
  2. Step 2: Convert to fraction form
    345.96/477.09 = 263.07/x
  3. Step 3: Cross multiply
    345.96x = 477.09 × 263.07
  4. Step 4: Simplify right side
    345.96x = 125,508.07
  5. Step 5: Solve for x
    x = 125,508.07/345.96
  6. Step 6: Final answer
    x = 362.78

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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.