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Finding the Fourth Proportional to 492.47, 737.86 and 245.34

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Solution

The fourth proportional to 492.47, 737.86 and 245.34 is: 367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.47 : 737.86 = 245.34 : x
  2. Step 2: Convert to fraction form
    492.47/737.86 = 245.34/x
  3. Step 3: Cross multiply
    492.47x = 737.86 × 245.34
  4. Step 4: Simplify right side
    492.47x = 181,025.35
  5. Step 5: Solve for x
    x = 181,025.35/492.47
  6. Step 6: Final answer
    x = 367.59

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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.