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Finding the Fourth Proportional to 53.48, 80.27 and 30.67

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Solution

The fourth proportional to 53.48, 80.27 and 30.67 is: 46.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.48 : 80.27 = 30.67 : x
  2. Step 2: Convert to fraction form
    53.48/80.27 = 30.67/x
  3. Step 3: Cross multiply
    53.48x = 80.27 × 30.67
  4. Step 4: Simplify right side
    53.48x = 2,461.53
  5. Step 5: Solve for x
    x = 2,461.53/53.48
  6. Step 6: Final answer
    x = 46.02

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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.