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Finding the Fourth Proportional to 265.95, 395.75 and 265.61

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Solution

The fourth proportional to 265.95, 395.75 and 265.61 is: 395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.95 : 395.75 = 265.61 : x
  2. Step 2: Convert to fraction form
    265.95/395.75 = 265.61/x
  3. Step 3: Cross multiply
    265.95x = 395.75 × 265.61
  4. Step 4: Simplify right side
    265.95x = 105,116.81
  5. Step 5: Solve for x
    x = 105,116.81/265.95
  6. Step 6: Final answer
    x = 395.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.