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Finding the Fourth Proportional to 287.28, 428.51 and 263.69

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Solution

The fourth proportional to 287.28, 428.51 and 263.69 is: 393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.28 : 428.51 = 263.69 : x
  2. Step 2: Convert to fraction form
    287.28/428.51 = 263.69/x
  3. Step 3: Cross multiply
    287.28x = 428.51 × 263.69
  4. Step 4: Simplify right side
    287.28x = 112,993.80
  5. Step 5: Solve for x
    x = 112,993.80/287.28
  6. Step 6: Final answer
    x = 393.32

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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.