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Finding the Fourth Proportional to 354.13, 488.16 and 255.98

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Solution

The fourth proportional to 354.13, 488.16 and 255.98 is: 352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.13 : 488.16 = 255.98 : x
  2. Step 2: Convert to fraction form
    354.13/488.16 = 255.98/x
  3. Step 3: Cross multiply
    354.13x = 488.16 × 255.98
  4. Step 4: Simplify right side
    354.13x = 124,960.42
  5. Step 5: Solve for x
    x = 124,960.42/354.13
  6. Step 6: Final answer
    x = 352.87

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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.