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Finding the Fourth Proportional to 328.89, 492.93 and 237.90

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Solution

The fourth proportional to 328.89, 492.93 and 237.90 is: 356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.89 : 492.93 = 237.90 : x
  2. Step 2: Convert to fraction form
    328.89/492.93 = 237.90/x
  3. Step 3: Cross multiply
    328.89x = 492.93 × 237.90
  4. Step 4: Simplify right side
    328.89x = 117,268.05
  5. Step 5: Solve for x
    x = 117,268.05/328.89
  6. Step 6: Final answer
    x = 356.56

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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.