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Finding the Fourth Proportional to 319.36, 440.64 and 202.88

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Solution

The fourth proportional to 319.36, 440.64 and 202.88 is: 279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 440.64 = 202.88 : x
  2. Step 2: Convert to fraction form
    319.36/440.64 = 202.88/x
  3. Step 3: Cross multiply
    319.36x = 440.64 × 202.88
  4. Step 4: Simplify right side
    319.36x = 89,397.04
  5. Step 5: Solve for x
    x = 89,397.04/319.36
  6. Step 6: Final answer
    x = 279.93

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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.