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Finding the Fourth Proportional to 248.53, 372.80 and 146.53

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Solution

The fourth proportional to 248.53, 372.80 and 146.53 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.53 : 372.80 = 146.53 : x
  2. Step 2: Convert to fraction form
    248.53/372.80 = 146.53/x
  3. Step 3: Cross multiply
    248.53x = 372.80 × 146.53
  4. Step 4: Simplify right side
    248.53x = 54,626.38
  5. Step 5: Solve for x
    x = 54,626.38/248.53
  6. Step 6: Final answer
    x = 219.80

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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.