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Finding the Fourth Proportional to 492.31, 739.10 and 307.50

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Solution

The fourth proportional to 492.31, 739.10 and 307.50 is: 461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.31 : 739.10 = 307.50 : x
  2. Step 2: Convert to fraction form
    492.31/739.10 = 307.50/x
  3. Step 3: Cross multiply
    492.31x = 739.10 × 307.50
  4. Step 4: Simplify right side
    492.31x = 227,273.25
  5. Step 5: Solve for x
    x = 227,273.25/492.31
  6. Step 6: Final answer
    x = 461.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.