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Finding the Fourth Proportional to 306.93, 420.34 and 302.88

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Solution

The fourth proportional to 306.93, 420.34 and 302.88 is: 414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.93 : 420.34 = 302.88 : x
  2. Step 2: Convert to fraction form
    306.93/420.34 = 302.88/x
  3. Step 3: Cross multiply
    306.93x = 420.34 × 302.88
  4. Step 4: Simplify right side
    306.93x = 127,311.82
  5. Step 5: Solve for x
    x = 127,311.82/306.93
  6. Step 6: Final answer
    x = 414.79

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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.