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Finding the Fourth Proportional to 299.92, 452.54 and 288.66

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Solution

The fourth proportional to 299.92, 452.54 and 288.66 is: 435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.92 : 452.54 = 288.66 : x
  2. Step 2: Convert to fraction form
    299.92/452.54 = 288.66/x
  3. Step 3: Cross multiply
    299.92x = 452.54 × 288.66
  4. Step 4: Simplify right side
    299.92x = 130,630.20
  5. Step 5: Solve for x
    x = 130,630.20/299.92
  6. Step 6: Final answer
    x = 435.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.