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Finding the Fourth Proportional to 248.35, 372.52 and 65.77

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Solution

The fourth proportional to 248.35, 372.52 and 65.77 is: 98.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.35 : 372.52 = 65.77 : x
  2. Step 2: Convert to fraction form
    248.35/372.52 = 65.77/x
  3. Step 3: Cross multiply
    248.35x = 372.52 × 65.77
  4. Step 4: Simplify right side
    248.35x = 24,498.78
  5. Step 5: Solve for x
    x = 24,498.78/248.35
  6. Step 6: Final answer
    x = 98.65

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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.