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Finding the Fourth Proportional to 307.36, 461.04 and 253.14

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Solution

The fourth proportional to 307.36, 461.04 and 253.14 is: 379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.36 : 461.04 = 253.14 : x
  2. Step 2: Convert to fraction form
    307.36/461.04 = 253.14/x
  3. Step 3: Cross multiply
    307.36x = 461.04 × 253.14
  4. Step 4: Simplify right side
    307.36x = 116,707.67
  5. Step 5: Solve for x
    x = 116,707.67/307.36
  6. Step 6: Final answer
    x = 379.71

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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.