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Finding the Fourth Proportional to 328.40, 492.61 and 237.28

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Solution

The fourth proportional to 328.40, 492.61 and 237.28 is: 355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.40 : 492.61 = 237.28 : x
  2. Step 2: Convert to fraction form
    328.40/492.61 = 237.28/x
  3. Step 3: Cross multiply
    328.40x = 492.61 × 237.28
  4. Step 4: Simplify right side
    328.40x = 116,885.38
  5. Step 5: Solve for x
    x = 116,885.38/328.40
  6. Step 6: Final answer
    x = 355.92

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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.