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Finding the Fourth Proportional to 306.35, 421.52 and 264.77

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Solution

The fourth proportional to 306.35, 421.52 and 264.77 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.35 : 421.52 = 264.77 : x
  2. Step 2: Convert to fraction form
    306.35/421.52 = 264.77/x
  3. Step 3: Cross multiply
    306.35x = 421.52 × 264.77
  4. Step 4: Simplify right side
    306.35x = 111,605.58
  5. Step 5: Solve for x
    x = 111,605.58/306.35
  6. Step 6: Final answer
    x = 364.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.