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Finding the Fourth Proportional to 53.90, 74.22 and 48.50

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Solution

The fourth proportional to 53.90, 74.22 and 48.50 is: 66.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.90 : 74.22 = 48.50 : x
  2. Step 2: Convert to fraction form
    53.90/74.22 = 48.50/x
  3. Step 3: Cross multiply
    53.90x = 74.22 × 48.50
  4. Step 4: Simplify right side
    53.90x = 3,599.67
  5. Step 5: Solve for x
    x = 3,599.67/53.90
  6. Step 6: Final answer
    x = 66.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.