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Finding the Fourth Proportional to 248.40, 372.58 and 65.77

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Solution

The fourth proportional to 248.40, 372.58 and 65.77 is: 98.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.40 : 372.58 = 65.77 : x
  2. Step 2: Convert to fraction form
    248.40/372.58 = 65.77/x
  3. Step 3: Cross multiply
    248.40x = 372.58 × 65.77
  4. Step 4: Simplify right side
    248.40x = 24,503.49
  5. Step 5: Solve for x
    x = 24,503.49/248.40
  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.