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Finding the Fourth Proportional to 386.99, 534.09 and 262.94

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Solution

The fourth proportional to 386.99, 534.09 and 262.94 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.99 : 534.09 = 262.94 : x
  2. Step 2: Convert to fraction form
    386.99/534.09 = 262.94/x
  3. Step 3: Cross multiply
    386.99x = 534.09 × 262.94
  4. Step 4: Simplify right side
    386.99x = 140,430.95
  5. Step 5: Solve for x
    x = 140,430.95/386.99
  6. Step 6: Final answer
    x = 362.88

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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.