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Finding the Fourth Proportional to 287.39, 432.86 and 262.42

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Solution

The fourth proportional to 287.39, 432.86 and 262.42 is: 395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.39 : 432.86 = 262.42 : x
  2. Step 2: Convert to fraction form
    287.39/432.86 = 262.42/x
  3. Step 3: Cross multiply
    287.39x = 432.86 × 262.42
  4. Step 4: Simplify right side
    287.39x = 113,591.12
  5. Step 5: Solve for x
    x = 113,591.12/287.39
  6. Step 6: Final answer
    x = 395.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.