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Finding the Fourth Proportional to 204.55, 307.28 and 159.24

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Solution

The fourth proportional to 204.55, 307.28 and 159.24 is: 239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.55 : 307.28 = 159.24 : x
  2. Step 2: Convert to fraction form
    204.55/307.28 = 159.24/x
  3. Step 3: Cross multiply
    204.55x = 307.28 × 159.24
  4. Step 4: Simplify right side
    204.55x = 48,931.27
  5. Step 5: Solve for x
    x = 48,931.27/204.55
  6. Step 6: Final answer
    x = 239.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.