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Finding the Fourth Proportional to 248.86, 374.10 and 153.28

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Solution

The fourth proportional to 248.86, 374.10 and 153.28 is: 230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.86 : 374.10 = 153.28 : x
  2. Step 2: Convert to fraction form
    248.86/374.10 = 153.28/x
  3. Step 3: Cross multiply
    248.86x = 374.10 × 153.28
  4. Step 4: Simplify right side
    248.86x = 57,342.05
  5. Step 5: Solve for x
    x = 57,342.05/248.86
  6. Step 6: Final answer
    x = 230.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.