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Finding the Fourth Proportional to 248.32, 372.34 and 145.86

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Solution

The fourth proportional to 248.32, 372.34 and 145.86 is: 218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.32 : 372.34 = 145.86 : x
  2. Step 2: Convert to fraction form
    248.32/372.34 = 145.86/x
  3. Step 3: Cross multiply
    248.32x = 372.34 × 145.86
  4. Step 4: Simplify right side
    248.32x = 54,309.51
  5. Step 5: Solve for x
    x = 54,309.51/248.32
  6. Step 6: Final answer
    x = 218.71

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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.