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Finding the Fourth Proportional to 299.04, 448.15 and 136.34

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Solution

The fourth proportional to 299.04, 448.15 and 136.34 is: 204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.04 : 448.15 = 136.34 : x
  2. Step 2: Convert to fraction form
    299.04/448.15 = 136.34/x
  3. Step 3: Cross multiply
    299.04x = 448.15 × 136.34
  4. Step 4: Simplify right side
    299.04x = 61,100.77
  5. Step 5: Solve for x
    x = 61,100.77/299.04
  6. Step 6: Final answer
    x = 204.32

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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.