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Finding the Fourth Proportional to 328.57, 493.40 and 246.31

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Solution

The fourth proportional to 328.57, 493.40 and 246.31 is: 369.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.57 : 493.40 = 246.31 : x
  2. Step 2: Convert to fraction form
    328.57/493.40 = 246.31/x
  3. Step 3: Cross multiply
    328.57x = 493.40 × 246.31
  4. Step 4: Simplify right side
    328.57x = 121,529.35
  5. Step 5: Solve for x
    x = 121,529.35/328.57
  6. Step 6: Final answer
    x = 369.87

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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.