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Finding the Fourth Proportional to 328.30, 492.54 and 235.87

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Solution

The fourth proportional to 328.30, 492.54 and 235.87 is: 353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.30 : 492.54 = 235.87 : x
  2. Step 2: Convert to fraction form
    328.30/492.54 = 235.87/x
  3. Step 3: Cross multiply
    328.30x = 492.54 × 235.87
  4. Step 4: Simplify right side
    328.30x = 116,175.41
  5. Step 5: Solve for x
    x = 116,175.41/328.30
  6. Step 6: Final answer
    x = 353.87

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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.