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Finding the Fourth Proportional to 54.48, 75.26 and 42.86

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Solution

The fourth proportional to 54.48, 75.26 and 42.86 is: 59.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.48 : 75.26 = 42.86 : x
  2. Step 2: Convert to fraction form
    54.48/75.26 = 42.86/x
  3. Step 3: Cross multiply
    54.48x = 75.26 × 42.86
  4. Step 4: Simplify right side
    54.48x = 3,225.05
  5. Step 5: Solve for x
    x = 3,225.05/54.48
  6. Step 6: Final answer
    x = 59.20

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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.