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Finding the Fourth Proportional to 258.78, 357.06 and 155.28

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Solution

The fourth proportional to 258.78, 357.06 and 155.28 is: 214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.78 : 357.06 = 155.28 : x
  2. Step 2: Convert to fraction form
    258.78/357.06 = 155.28/x
  3. Step 3: Cross multiply
    258.78x = 357.06 × 155.28
  4. Step 4: Simplify right side
    258.78x = 55,444.28
  5. Step 5: Solve for x
    x = 55,444.28/258.78
  6. Step 6: Final answer
    x = 214.25

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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.