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Finding the Fourth Proportional to 345.74, 477.86 and 306.11

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Solution

The fourth proportional to 345.74, 477.86 and 306.11 is: 423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.74 : 477.86 = 306.11 : x
  2. Step 2: Convert to fraction form
    345.74/477.86 = 306.11/x
  3. Step 3: Cross multiply
    345.74x = 477.86 × 306.11
  4. Step 4: Simplify right side
    345.74x = 146,277.39
  5. Step 5: Solve for x
    x = 146,277.39/345.74
  6. Step 6: Final answer
    x = 423.09

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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.