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Finding the Fourth Proportional to 328.57, 492.54 and 213.07

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Solution

The fourth proportional to 328.57, 492.54 and 213.07 is: 319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.57 : 492.54 = 213.07 : x
  2. Step 2: Convert to fraction form
    328.57/492.54 = 213.07/x
  3. Step 3: Cross multiply
    328.57x = 492.54 × 213.07
  4. Step 4: Simplify right side
    328.57x = 104,945.31
  5. Step 5: Solve for x
    x = 104,945.31/328.57
  6. Step 6: Final answer
    x = 319.40

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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.