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Finding the Fourth Proportional to 74.30, 102.33 and 54.86

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Solution

The fourth proportional to 74.30, 102.33 and 54.86 is: 75.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.30 : 102.33 = 54.86 : x
  2. Step 2: Convert to fraction form
    74.30/102.33 = 54.86/x
  3. Step 3: Cross multiply
    74.30x = 102.33 × 54.86
  4. Step 4: Simplify right side
    74.30x = 5,613.82
  5. Step 5: Solve for x
    x = 5,613.82/74.30
  6. Step 6: Final answer
    x = 75.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.