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Finding the Fourth Proportional to 345.89, 477.32 and 198.59

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Solution

The fourth proportional to 345.89, 477.32 and 198.59 is: 274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.89 : 477.32 = 198.59 : x
  2. Step 2: Convert to fraction form
    345.89/477.32 = 198.59/x
  3. Step 3: Cross multiply
    345.89x = 477.32 × 198.59
  4. Step 4: Simplify right side
    345.89x = 94,787.60
  5. Step 5: Solve for x
    x = 94,787.60/345.89
  6. Step 6: Final answer
    x = 274.04

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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.