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Finding the Fourth Proportional to 486.93, 730.61 and 255.77

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Solution

The fourth proportional to 486.93, 730.61 and 255.77 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.93 : 730.61 = 255.77 : x
  2. Step 2: Convert to fraction form
    486.93/730.61 = 255.77/x
  3. Step 3: Cross multiply
    486.93x = 730.61 × 255.77
  4. Step 4: Simplify right side
    486.93x = 186,863.99
  5. Step 5: Solve for x
    x = 186,863.99/486.93
  6. Step 6: Final answer
    x = 383.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.