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Finding the Fourth Proportional to 462.77, 638.59 and 255.77

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Solution

The fourth proportional to 462.77, 638.59 and 255.77 is: 352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.77 : 638.59 = 255.77 : x
  2. Step 2: Convert to fraction form
    462.77/638.59 = 255.77/x
  3. Step 3: Cross multiply
    462.77x = 638.59 × 255.77
  4. Step 4: Simplify right side
    462.77x = 163,330.89
  5. Step 5: Solve for x
    x = 163,330.89/462.77
  6. Step 6: Final answer
    x = 352.94

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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.