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Finding the Fourth Proportional to 328.64, 453.08 and 281.81

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Solution

The fourth proportional to 328.64, 453.08 and 281.81 is: 388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.64 : 453.08 = 281.81 : x
  2. Step 2: Convert to fraction form
    328.64/453.08 = 281.81/x
  3. Step 3: Cross multiply
    328.64x = 453.08 × 281.81
  4. Step 4: Simplify right side
    328.64x = 127,678.80
  5. Step 5: Solve for x
    x = 127,678.80/328.64
  6. Step 6: Final answer
    x = 388.51

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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.