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Finding the Fourth Proportional to 248.47, 372.70 and 111.48

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Solution

The fourth proportional to 248.47, 372.70 and 111.48 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.47 : 372.70 = 111.48 : x
  2. Step 2: Convert to fraction form
    248.47/372.70 = 111.48/x
  3. Step 3: Cross multiply
    248.47x = 372.70 × 111.48
  4. Step 4: Simplify right side
    248.47x = 41,547.34
  5. Step 5: Solve for x
    x = 41,547.34/248.47
  6. Step 6: Final answer
    x = 167.21

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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.