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Finding the Fourth Proportional to 265.15, 365.97 and 154.68

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Solution

The fourth proportional to 265.15, 365.97 and 154.68 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.15 : 365.97 = 154.68 : x
  2. Step 2: Convert to fraction form
    265.15/365.97 = 154.68/x
  3. Step 3: Cross multiply
    265.15x = 365.97 × 154.68
  4. Step 4: Simplify right side
    265.15x = 56,608.24
  5. Step 5: Solve for x
    x = 56,608.24/265.15
  6. Step 6: Final answer
    x = 213.50

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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.