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Finding the Fourth Proportional to 308.16, 423.02 and 283.55

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Solution

The fourth proportional to 308.16, 423.02 and 283.55 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.16 : 423.02 = 283.55 : x
  2. Step 2: Convert to fraction form
    308.16/423.02 = 283.55/x
  3. Step 3: Cross multiply
    308.16x = 423.02 × 283.55
  4. Step 4: Simplify right side
    308.16x = 119,945.91
  5. Step 5: Solve for x
    x = 119,945.91/308.16
  6. Step 6: Final answer
    x = 389.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.