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Finding the Fourth Proportional to 328.84, 453.80 and 204.50

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Solution

The fourth proportional to 328.84, 453.80 and 204.50 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.84 : 453.80 = 204.50 : x
  2. Step 2: Convert to fraction form
    328.84/453.80 = 204.50/x
  3. Step 3: Cross multiply
    328.84x = 453.80 × 204.50
  4. Step 4: Simplify right side
    328.84x = 92,802.10
  5. Step 5: Solve for x
    x = 92,802.10/328.84
  6. Step 6: Final answer
    x = 282.21

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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.