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Finding the Fourth Proportional to 288.14, 433.78 and 262.63

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Solution

The fourth proportional to 288.14, 433.78 and 262.63 is: 395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.14 : 433.78 = 262.63 : x
  2. Step 2: Convert to fraction form
    288.14/433.78 = 262.63/x
  3. Step 3: Cross multiply
    288.14x = 433.78 × 262.63
  4. Step 4: Simplify right side
    288.14x = 113,923.64
  5. Step 5: Solve for x
    x = 113,923.64/288.14
  6. Step 6: Final answer
    x = 395.38

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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.