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Finding the Fourth Proportional to 491.47, 678.17 and 292.21

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Solution

The fourth proportional to 491.47, 678.17 and 292.21 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 678.17 = 292.21 : x
  2. Step 2: Convert to fraction form
    491.47/678.17 = 292.21/x
  3. Step 3: Cross multiply
    491.47x = 678.17 × 292.21
  4. Step 4: Simplify right side
    491.47x = 198,167.09
  5. Step 5: Solve for x
    x = 198,167.09/491.47
  6. Step 6: Final answer
    x = 403.22

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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.