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Finding the Fourth Proportional to 53.86, 80.88 and 31.08

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Solution

The fourth proportional to 53.86, 80.88 and 31.08 is: 46.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.86 : 80.88 = 31.08 : x
  2. Step 2: Convert to fraction form
    53.86/80.88 = 31.08/x
  3. Step 3: Cross multiply
    53.86x = 80.88 × 31.08
  4. Step 4: Simplify right side
    53.86x = 2,513.75
  5. Step 5: Solve for x
    x = 2,513.75/53.86
  6. Step 6: Final answer
    x = 46.67

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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.