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Finding the Fourth Proportional to 492.95, 679.98 and 308.63

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Solution

The fourth proportional to 492.95, 679.98 and 308.63 is: 425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 679.98 = 308.63 : x
  2. Step 2: Convert to fraction form
    492.95/679.98 = 308.63/x
  3. Step 3: Cross multiply
    492.95x = 679.98 × 308.63
  4. Step 4: Simplify right side
    492.95x = 209,862.23
  5. Step 5: Solve for x
    x = 209,862.23/492.95
  6. Step 6: Final answer
    x = 425.73

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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.