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Finding the Fourth Proportional to 494.19, 681.76 and 284.31

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Solution

The fourth proportional to 494.19, 681.76 and 284.31 is: 392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.19 : 681.76 = 284.31 : x
  2. Step 2: Convert to fraction form
    494.19/681.76 = 284.31/x
  3. Step 3: Cross multiply
    494.19x = 681.76 × 284.31
  4. Step 4: Simplify right side
    494.19x = 193,831.19
  5. Step 5: Solve for x
    x = 193,831.19/494.19
  6. Step 6: Final answer
    x = 392.22

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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.