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Finding the Fourth Proportional to 54.32, 74.78 and 42

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Solution

The fourth proportional to 54.32, 74.78 and 42 is: 57.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.32 : 74.78 = 42 : x
  2. Step 2: Convert to fraction form
    54.32/74.78 = 42/x
  3. Step 3: Cross multiply
    54.32x = 74.78 × 42
  4. Step 4: Simplify right side
    54.32x = 3,140.76
  5. Step 5: Solve for x
    x = 3,140.76/54.32
  6. Step 6: Final answer
    x = 57.82

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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.