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Finding the Fourth Proportional to 386.99, 534.07 and 255.77

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Solution

The fourth proportional to 386.99, 534.07 and 255.77 is: 352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.99 : 534.07 = 255.77 : x
  2. Step 2: Convert to fraction form
    386.99/534.07 = 255.77/x
  3. Step 3: Cross multiply
    386.99x = 534.07 × 255.77
  4. Step 4: Simplify right side
    386.99x = 136,597.11
  5. Step 5: Solve for x
    x = 136,597.11/386.99
  6. Step 6: Final answer
    x = 352.98

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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.