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Finding the Fourth Proportional to 308.75, 423.85 and 265.01

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Solution

The fourth proportional to 308.75, 423.85 and 265.01 is: 363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.75 : 423.85 = 265.01 : x
  2. Step 2: Convert to fraction form
    308.75/423.85 = 265.01/x
  3. Step 3: Cross multiply
    308.75x = 423.85 × 265.01
  4. Step 4: Simplify right side
    308.75x = 112,324.89
  5. Step 5: Solve for x
    x = 112,324.89/308.75
  6. Step 6: Final answer
    x = 363.80

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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.