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Finding the Fourth Proportional to 307.76, 421.89 and 302.24

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Solution

The fourth proportional to 307.76, 421.89 and 302.24 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 421.89 = 302.24 : x
  2. Step 2: Convert to fraction form
    307.76/421.89 = 302.24/x
  3. Step 3: Cross multiply
    307.76x = 421.89 × 302.24
  4. Step 4: Simplify right side
    307.76x = 127,512.03
  5. Step 5: Solve for x
    x = 127,512.03/307.76
  6. Step 6: Final answer
    x = 414.32

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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.