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Finding the Fourth Proportional to 47.76, 65.92 and 30.48

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Solution

The fourth proportional to 47.76, 65.92 and 30.48 is: 42.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.76 : 65.92 = 30.48 : x
  2. Step 2: Convert to fraction form
    47.76/65.92 = 30.48/x
  3. Step 3: Cross multiply
    47.76x = 65.92 × 30.48
  4. Step 4: Simplify right side
    47.76x = 2,009.24
  5. Step 5: Solve for x
    x = 2,009.24/47.76
  6. Step 6: Final answer
    x = 42.07

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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.