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Finding the Fourth Proportional to 328.86, 454.01 and 204.63

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Solution

The fourth proportional to 328.86, 454.01 and 204.63 is: 282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.86 : 454.01 = 204.63 : x
  2. Step 2: Convert to fraction form
    328.86/454.01 = 204.63/x
  3. Step 3: Cross multiply
    328.86x = 454.01 × 204.63
  4. Step 4: Simplify right side
    328.86x = 92,901.34
  5. Step 5: Solve for x
    x = 92,901.34/328.86
  6. Step 6: Final answer
    x = 282.50

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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.