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Finding the Fourth Proportional to 358.18, 493.77 and 254.50

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Solution

The fourth proportional to 358.18, 493.77 and 254.50 is: 350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.18 : 493.77 = 254.50 : x
  2. Step 2: Convert to fraction form
    358.18/493.77 = 254.50/x
  3. Step 3: Cross multiply
    358.18x = 493.77 × 254.50
  4. Step 4: Simplify right side
    358.18x = 125,664.47
  5. Step 5: Solve for x
    x = 125,664.47/358.18
  6. Step 6: Final answer
    x = 350.84

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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.