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Finding the Fourth Proportional to 258.51, 356.88 and 165.31

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Solution

The fourth proportional to 258.51, 356.88 and 165.31 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.51 : 356.88 = 165.31 : x
  2. Step 2: Convert to fraction form
    258.51/356.88 = 165.31/x
  3. Step 3: Cross multiply
    258.51x = 356.88 × 165.31
  4. Step 4: Simplify right side
    258.51x = 58,995.83
  5. Step 5: Solve for x
    x = 58,995.83/258.51
  6. Step 6: Final answer
    x = 228.21

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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.