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Finding the Fourth Proportional to 301.19, 412.32 and 299.16

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Solution

The fourth proportional to 301.19, 412.32 and 299.16 is: 409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.19 : 412.32 = 299.16 : x
  2. Step 2: Convert to fraction form
    301.19/412.32 = 299.16/x
  3. Step 3: Cross multiply
    301.19x = 412.32 × 299.16
  4. Step 4: Simplify right side
    301.19x = 123,349.65
  5. Step 5: Solve for x
    x = 123,349.65/301.19
  6. Step 6: Final answer
    x = 409.55

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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.