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Finding the Fourth Proportional to 258.18, 356.17 and 153.24

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Solution

The fourth proportional to 258.18, 356.17 and 153.24 is: 211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.18 : 356.17 = 153.24 : x
  2. Step 2: Convert to fraction form
    258.18/356.17 = 153.24/x
  3. Step 3: Cross multiply
    258.18x = 356.17 × 153.24
  4. Step 4: Simplify right side
    258.18x = 54,579.49
  5. Step 5: Solve for x
    x = 54,579.49/258.18
  6. Step 6: Final answer
    x = 211.40

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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.