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Finding the Fourth Proportional to 266.80, 398.16 and 265.32

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Solution

The fourth proportional to 266.80, 398.16 and 265.32 is: 395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 398.16 = 265.32 : x
  2. Step 2: Convert to fraction form
    266.80/398.16 = 265.32/x
  3. Step 3: Cross multiply
    266.80x = 398.16 × 265.32
  4. Step 4: Simplify right side
    266.80x = 105,639.81
  5. Step 5: Solve for x
    x = 105,639.81/266.80
  6. Step 6: Final answer
    x = 395.95

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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.