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Finding the Fourth Proportional to 30.76, 42.48 and 27.12

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Solution

The fourth proportional to 30.76, 42.48 and 27.12 is: 37.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.76 : 42.48 = 27.12 : x
  2. Step 2: Convert to fraction form
    30.76/42.48 = 27.12/x
  3. Step 3: Cross multiply
    30.76x = 42.48 × 27.12
  4. Step 4: Simplify right side
    30.76x = 1,152.06
  5. Step 5: Solve for x
    x = 1,152.06/30.76
  6. Step 6: Final answer
    x = 37.45

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Find fourth proportional to 15.38, 21.24 and 13.56
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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.