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Finding the Fourth Proportional to 356.27, 493.55 and 347.76

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Solution

The fourth proportional to 356.27, 493.55 and 347.76 is: 481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.27 : 493.55 = 347.76 : x
  2. Step 2: Convert to fraction form
    356.27/493.55 = 347.76/x
  3. Step 3: Cross multiply
    356.27x = 493.55 × 347.76
  4. Step 4: Simplify right side
    356.27x = 171,636.95
  5. Step 5: Solve for x
    x = 171,636.95/356.27
  6. Step 6: Final answer
    x = 481.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.