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Finding the Fourth Proportional to 405.76, 559.82 and 248.48

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Solution

The fourth proportional to 405.76, 559.82 and 248.48 is: 342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.76 : 559.82 = 248.48 : x
  2. Step 2: Convert to fraction form
    405.76/559.82 = 248.48/x
  3. Step 3: Cross multiply
    405.76x = 559.82 × 248.48
  4. Step 4: Simplify right side
    405.76x = 139,104.07
  5. Step 5: Solve for x
    x = 139,104.07/405.76
  6. Step 6: Final answer
    x = 342.82

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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.