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Finding the Fourth Proportional to 307.01, 421.17 and 297.77

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Solution

The fourth proportional to 307.01, 421.17 and 297.77 is: 408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.01 : 421.17 = 297.77 : x
  2. Step 2: Convert to fraction form
    307.01/421.17 = 297.77/x
  3. Step 3: Cross multiply
    307.01x = 421.17 × 297.77
  4. Step 4: Simplify right side
    307.01x = 125,409.69
  5. Step 5: Solve for x
    x = 125,409.69/307.01
  6. Step 6: Final answer
    x = 408.49

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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.