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Finding the Fourth Proportional to 258.77, 357.13 and 193.16

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Solution

The fourth proportional to 258.77, 357.13 and 193.16 is: 266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.77 : 357.13 = 193.16 : x
  2. Step 2: Convert to fraction form
    258.77/357.13 = 193.16/x
  3. Step 3: Cross multiply
    258.77x = 357.13 × 193.16
  4. Step 4: Simplify right side
    258.77x = 68,984.37
  5. Step 5: Solve for x
    x = 68,984.37/258.77
  6. Step 6: Final answer
    x = 266.58

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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.