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Finding the Fourth Proportional to 345.98, 477.33 and 221.47

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Solution

The fourth proportional to 345.98, 477.33 and 221.47 is: 305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 477.33 = 221.47 : x
  2. Step 2: Convert to fraction form
    345.98/477.33 = 221.47/x
  3. Step 3: Cross multiply
    345.98x = 477.33 × 221.47
  4. Step 4: Simplify right side
    345.98x = 105,714.28
  5. Step 5: Solve for x
    x = 105,714.28/345.98
  6. Step 6: Final answer
    x = 305.55

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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.