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Finding the Fourth Proportional to 328.32, 453.06 and 188.43

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Solution

The fourth proportional to 328.32, 453.06 and 188.43 is: 260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.32 : 453.06 = 188.43 : x
  2. Step 2: Convert to fraction form
    328.32/453.06 = 188.43/x
  3. Step 3: Cross multiply
    328.32x = 453.06 × 188.43
  4. Step 4: Simplify right side
    328.32x = 85,370.10
  5. Step 5: Solve for x
    x = 85,370.10/328.32
  6. Step 6: Final answer
    x = 260.02

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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.