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Finding the Fourth Proportional to 265.74, 398.74 and 111.77

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Solution

The fourth proportional to 265.74, 398.74 and 111.77 is: 167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 398.74 = 111.77 : x
  2. Step 2: Convert to fraction form
    265.74/398.74 = 111.77/x
  3. Step 3: Cross multiply
    265.74x = 398.74 × 111.77
  4. Step 4: Simplify right side
    265.74x = 44,567.17
  5. Step 5: Solve for x
    x = 44,567.17/265.74
  6. Step 6: Final answer
    x = 167.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.