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Finding the Fourth Proportional to 492.17, 737.85 and 248.57

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Solution

The fourth proportional to 492.17, 737.85 and 248.57 is: 372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.17 : 737.85 = 248.57 : x
  2. Step 2: Convert to fraction form
    492.17/737.85 = 248.57/x
  3. Step 3: Cross multiply
    492.17x = 737.85 × 248.57
  4. Step 4: Simplify right side
    492.17x = 183,407.37
  5. Step 5: Solve for x
    x = 183,407.37/492.17
  6. Step 6: Final answer
    x = 372.65

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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.