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Finding the Fourth Proportional to 307.26, 420.21 and 302.49

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Solution

The fourth proportional to 307.26, 420.21 and 302.49 is: 413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.26 : 420.21 = 302.49 : x
  2. Step 2: Convert to fraction form
    307.26/420.21 = 302.49/x
  3. Step 3: Cross multiply
    307.26x = 420.21 × 302.49
  4. Step 4: Simplify right side
    307.26x = 127,109.32
  5. Step 5: Solve for x
    x = 127,109.32/307.26
  6. Step 6: Final answer
    x = 413.69

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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.