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Finding the Fourth Proportional to 54.76, 75.54 and 46.12

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Solution

The fourth proportional to 54.76, 75.54 and 46.12 is: 63.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 75.54 = 46.12 : x
  2. Step 2: Convert to fraction form
    54.76/75.54 = 46.12/x
  3. Step 3: Cross multiply
    54.76x = 75.54 × 46.12
  4. Step 4: Simplify right side
    54.76x = 3,483.90
  5. Step 5: Solve for x
    x = 3,483.90/54.76
  6. Step 6: Final answer
    x = 63.62

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Find fourth proportional to 27.38, 37.77 and 23.06
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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.