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Finding the Fourth Proportional to 299.04, 410.10 and 295.80

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Solution

The fourth proportional to 299.04, 410.10 and 295.80 is: 405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.04 : 410.10 = 295.80 : x
  2. Step 2: Convert to fraction form
    299.04/410.10 = 295.80/x
  3. Step 3: Cross multiply
    299.04x = 410.10 × 295.80
  4. Step 4: Simplify right side
    299.04x = 121,307.58
  5. Step 5: Solve for x
    x = 121,307.58/299.04
  6. Step 6: Final answer
    x = 405.66

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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.