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Finding the Fourth Proportional to 355.90, 533.40 and 193.72

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Solution

The fourth proportional to 355.90, 533.40 and 193.72 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.90 : 533.40 = 193.72 : x
  2. Step 2: Convert to fraction form
    355.90/533.40 = 193.72/x
  3. Step 3: Cross multiply
    355.90x = 533.40 × 193.72
  4. Step 4: Simplify right side
    355.90x = 103,330.25
  5. Step 5: Solve for x
    x = 103,330.25/355.90
  6. Step 6: Final answer
    x = 290.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.