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Finding the Fourth Proportional to 328.07, 452.68 and 186.28

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Solution

The fourth proportional to 328.07, 452.68 and 186.28 is: 257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.07 : 452.68 = 186.28 : x
  2. Step 2: Convert to fraction form
    328.07/452.68 = 186.28/x
  3. Step 3: Cross multiply
    328.07x = 452.68 × 186.28
  4. Step 4: Simplify right side
    328.07x = 84,325.23
  5. Step 5: Solve for x
    x = 84,325.23/328.07
  6. Step 6: Final answer
    x = 257.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.