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Finding the Fourth Proportional to 74.29, 102.55 and 56.81

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Solution

The fourth proportional to 74.29, 102.55 and 56.81 is: 78.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.29 : 102.55 = 56.81 : x
  2. Step 2: Convert to fraction form
    74.29/102.55 = 56.81/x
  3. Step 3: Cross multiply
    74.29x = 102.55 × 56.81
  4. Step 4: Simplify right side
    74.29x = 5,825.87
  5. Step 5: Solve for x
    x = 5,825.87/74.29
  6. Step 6: Final answer
    x = 78.42

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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.