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Finding the Fourth Proportional to 266.64, 398.16 and 230.16

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Solution

The fourth proportional to 266.64, 398.16 and 230.16 is: 343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.64 : 398.16 = 230.16 : x
  2. Step 2: Convert to fraction form
    266.64/398.16 = 230.16/x
  3. Step 3: Cross multiply
    266.64x = 398.16 × 230.16
  4. Step 4: Simplify right side
    266.64x = 91,640.51
  5. Step 5: Solve for x
    x = 91,640.51/266.64
  6. Step 6: Final answer
    x = 343.69

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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.