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Finding the Fourth Proportional to 54.66, 75.38 and 45.35

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Solution

The fourth proportional to 54.66, 75.38 and 45.35 is: 62.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.66 : 75.38 = 45.35 : x
  2. Step 2: Convert to fraction form
    54.66/75.38 = 45.35/x
  3. Step 3: Cross multiply
    54.66x = 75.38 × 45.35
  4. Step 4: Simplify right side
    54.66x = 3,417.88
  5. Step 5: Solve for x
    x = 3,417.88/54.66
  6. Step 6: Final answer
    x = 62.53

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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.