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Finding the Fourth Proportional to 493.76, 681.60 and 356.48

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Solution

The fourth proportional to 493.76, 681.60 and 356.48 is: 492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.76 : 681.60 = 356.48 : x
  2. Step 2: Convert to fraction form
    493.76/681.60 = 356.48/x
  3. Step 3: Cross multiply
    493.76x = 681.60 × 356.48
  4. Step 4: Simplify right side
    493.76x = 242,976.77
  5. Step 5: Solve for x
    x = 242,976.77/493.76
  6. Step 6: Final answer
    x = 492.09

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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.