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Finding the Fourth Proportional to 306.69, 420.77 and 304.17

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Solution

The fourth proportional to 306.69, 420.77 and 304.17 is: 417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.69 : 420.77 = 304.17 : x
  2. Step 2: Convert to fraction form
    306.69/420.77 = 304.17/x
  3. Step 3: Cross multiply
    306.69x = 420.77 × 304.17
  4. Step 4: Simplify right side
    306.69x = 127,984.09
  5. Step 5: Solve for x
    x = 127,984.09/306.69
  6. Step 6: Final answer
    x = 417.31

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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.