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Finding the Fourth Proportional to 248.24, 372.16 and 126.40

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Solution

The fourth proportional to 248.24, 372.16 and 126.40 is: 189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 372.16 = 126.40 : x
  2. Step 2: Convert to fraction form
    248.24/372.16 = 126.40/x
  3. Step 3: Cross multiply
    248.24x = 372.16 × 126.40
  4. Step 4: Simplify right side
    248.24x = 47,041.02
  5. Step 5: Solve for x
    x = 47,041.02/248.24
  6. Step 6: Final answer
    x = 189.50

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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.