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Finding the Fourth Proportional to 386.81, 533.44 and 262.65

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Solution

The fourth proportional to 386.81, 533.44 and 262.65 is: 362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.81 : 533.44 = 262.65 : x
  2. Step 2: Convert to fraction form
    386.81/533.44 = 262.65/x
  3. Step 3: Cross multiply
    386.81x = 533.44 × 262.65
  4. Step 4: Simplify right side
    386.81x = 140,108.02
  5. Step 5: Solve for x
    x = 140,108.02/386.81
  6. Step 6: Final answer
    x = 362.21

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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.