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Finding the Fourth Proportional to 288.93, 397.86 and 262.56

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Solution

The fourth proportional to 288.93, 397.86 and 262.56 is: 361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.93 : 397.86 = 262.56 : x
  2. Step 2: Convert to fraction form
    288.93/397.86 = 262.56/x
  3. Step 3: Cross multiply
    288.93x = 397.86 × 262.56
  4. Step 4: Simplify right side
    288.93x = 104,462.12
  5. Step 5: Solve for x
    x = 104,462.12/288.93
  6. Step 6: Final answer
    x = 361.55

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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.