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Finding the Fourth Proportional to 254.93, 352.10 and 202.65

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Solution

The fourth proportional to 254.93, 352.10 and 202.65 is: 279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.93 : 352.10 = 202.65 : x
  2. Step 2: Convert to fraction form
    254.93/352.10 = 202.65/x
  3. Step 3: Cross multiply
    254.93x = 352.10 × 202.65
  4. Step 4: Simplify right side
    254.93x = 71,352.25
  5. Step 5: Solve for x
    x = 71,352.25/254.93
  6. Step 6: Final answer
    x = 279.90

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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.