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Finding the Fourth Proportional to 258.02, 355.73 and 202.53

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Solution

The fourth proportional to 258.02, 355.73 and 202.53 is: 279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.02 : 355.73 = 202.53 : x
  2. Step 2: Convert to fraction form
    258.02/355.73 = 202.53/x
  3. Step 3: Cross multiply
    258.02x = 355.73 × 202.53
  4. Step 4: Simplify right side
    258.02x = 72,046.32
  5. Step 5: Solve for x
    x = 72,046.32/258.02
  6. Step 6: Final answer
    x = 279.23

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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.