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Finding the Fourth Proportional to 345.05, 476.33 and 220.88

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Solution

The fourth proportional to 345.05, 476.33 and 220.88 is: 304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.05 : 476.33 = 220.88 : x
  2. Step 2: Convert to fraction form
    345.05/476.33 = 220.88/x
  3. Step 3: Cross multiply
    345.05x = 476.33 × 220.88
  4. Step 4: Simplify right side
    345.05x = 105,208.28
  5. Step 5: Solve for x
    x = 105,208.28/345.05
  6. Step 6: Final answer
    x = 304.91

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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.