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Finding the Fourth Proportional to 258.24, 356.31 and 175.62

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Solution

The fourth proportional to 258.24, 356.31 and 175.62 is: 242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.24 : 356.31 = 175.62 : x
  2. Step 2: Convert to fraction form
    258.24/356.31 = 175.62/x
  3. Step 3: Cross multiply
    258.24x = 356.31 × 175.62
  4. Step 4: Simplify right side
    258.24x = 62,575.16
  5. Step 5: Solve for x
    x = 62,575.16/258.24
  6. Step 6: Final answer
    x = 242.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.