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Finding the Fourth Proportional to 54.86, 75.76 and 42.65

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Solution

The fourth proportional to 54.86, 75.76 and 42.65 is: 58.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 75.76 = 42.65 : x
  2. Step 2: Convert to fraction form
    54.86/75.76 = 42.65/x
  3. Step 3: Cross multiply
    54.86x = 75.76 × 42.65
  4. Step 4: Simplify right side
    54.86x = 3,231.16
  5. Step 5: Solve for x
    x = 3,231.16/54.86
  6. Step 6: Final answer
    x = 58.90

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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.