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Finding the Fourth Proportional to 491.70, 678.62 and 295.22

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Solution

The fourth proportional to 491.70, 678.62 and 295.22 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 678.62 = 295.22 : x
  2. Step 2: Convert to fraction form
    491.70/678.62 = 295.22/x
  3. Step 3: Cross multiply
    491.70x = 678.62 × 295.22
  4. Step 4: Simplify right side
    491.70x = 200,342.20
  5. Step 5: Solve for x
    x = 200,342.20/491.70
  6. Step 6: Final answer
    x = 407.45

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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.