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Finding the Fourth Proportional to 339.08, 468.04 and 305.68

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Solution

The fourth proportional to 339.08, 468.04 and 305.68 is: 421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.08 : 468.04 = 305.68 : x
  2. Step 2: Convert to fraction form
    339.08/468.04 = 305.68/x
  3. Step 3: Cross multiply
    339.08x = 468.04 × 305.68
  4. Step 4: Simplify right side
    339.08x = 143,070.47
  5. Step 5: Solve for x
    x = 143,070.47/339.08
  6. Step 6: Final answer
    x = 421.94

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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.