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Finding the Fourth Proportional to 306.10, 419.65 and 300.63

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Solution

The fourth proportional to 306.10, 419.65 and 300.63 is: 412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.10 : 419.65 = 300.63 : x
  2. Step 2: Convert to fraction form
    306.10/419.65 = 300.63/x
  3. Step 3: Cross multiply
    306.10x = 419.65 × 300.63
  4. Step 4: Simplify right side
    306.10x = 126,159.38
  5. Step 5: Solve for x
    x = 126,159.38/306.10
  6. Step 6: Final answer
    x = 412.15

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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.