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Finding the Fourth Proportional to 287.69, 394.88 and 263.08

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Solution

The fourth proportional to 287.69, 394.88 and 263.08 is: 361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.69 : 394.88 = 263.08 : x
  2. Step 2: Convert to fraction form
    287.69/394.88 = 263.08/x
  3. Step 3: Cross multiply
    287.69x = 394.88 × 263.08
  4. Step 4: Simplify right side
    287.69x = 103,884.21
  5. Step 5: Solve for x
    x = 103,884.21/287.69
  6. Step 6: Final answer
    x = 361.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.