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Finding the Fourth Proportional to 492.28, 678.59 and 367.75

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Solution

The fourth proportional to 492.28, 678.59 and 367.75 is: 506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.28 : 678.59 = 367.75 : x
  2. Step 2: Convert to fraction form
    492.28/678.59 = 367.75/x
  3. Step 3: Cross multiply
    492.28x = 678.59 × 367.75
  4. Step 4: Simplify right side
    492.28x = 249,551.47
  5. Step 5: Solve for x
    x = 249,551.47/492.28
  6. Step 6: Final answer
    x = 506.93

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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.