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Finding the Fourth Proportional to 491.31, 678.01 and 270.28

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Solution

The fourth proportional to 491.31, 678.01 and 270.28 is: 372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.31 : 678.01 = 270.28 : x
  2. Step 2: Convert to fraction form
    491.31/678.01 = 270.28/x
  3. Step 3: Cross multiply
    491.31x = 678.01 × 270.28
  4. Step 4: Simplify right side
    491.31x = 183,252.07
  5. Step 5: Solve for x
    x = 183,252.07/491.31
  6. Step 6: Final answer
    x = 372.99

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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.