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Finding the Fourth Proportional to 180.31, 248.33 and 155.74

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Solution

The fourth proportional to 180.31, 248.33 and 155.74 is: 214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.31 : 248.33 = 155.74 : x
  2. Step 2: Convert to fraction form
    180.31/248.33 = 155.74/x
  3. Step 3: Cross multiply
    180.31x = 248.33 × 155.74
  4. Step 4: Simplify right side
    180.31x = 38,672.89
  5. Step 5: Solve for x
    x = 38,672.89/180.31
  6. Step 6: Final answer
    x = 214.49

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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.