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Finding the Fourth Proportional to 258.63, 356.96 and 165.35

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Solution

The fourth proportional to 258.63, 356.96 and 165.35 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.63 : 356.96 = 165.35 : x
  2. Step 2: Convert to fraction form
    258.63/356.96 = 165.35/x
  3. Step 3: Cross multiply
    258.63x = 356.96 × 165.35
  4. Step 4: Simplify right side
    258.63x = 59,020.72
  5. Step 5: Solve for x
    x = 59,020.72/258.63
  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.