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Finding the Fourth Proportional to 265.26, 365.28 and 191.45

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Solution

The fourth proportional to 265.26, 365.28 and 191.45 is: 263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.26 : 365.28 = 191.45 : x
  2. Step 2: Convert to fraction form
    265.26/365.28 = 191.45/x
  3. Step 3: Cross multiply
    265.26x = 365.28 × 191.45
  4. Step 4: Simplify right side
    265.26x = 69,931.03
  5. Step 5: Solve for x
    x = 69,931.03/265.26
  6. Step 6: Final answer
    x = 263.63

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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.