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Finding the Fourth Proportional to 248.47, 372.73 and 102.19

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Solution

The fourth proportional to 248.47, 372.73 and 102.19 is: 153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.47 : 372.73 = 102.19 : x
  2. Step 2: Convert to fraction form
    248.47/372.73 = 102.19/x
  3. Step 3: Cross multiply
    248.47x = 372.73 × 102.19
  4. Step 4: Simplify right side
    248.47x = 38,089.28
  5. Step 5: Solve for x
    x = 38,089.28/248.47
  6. Step 6: Final answer
    x = 153.30

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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.