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Finding the Fourth Proportional to 468.86, 647.08 and 294.44

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Solution

The fourth proportional to 468.86, 647.08 and 294.44 is: 406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.86 : 647.08 = 294.44 : x
  2. Step 2: Convert to fraction form
    468.86/647.08 = 294.44/x
  3. Step 3: Cross multiply
    468.86x = 647.08 × 294.44
  4. Step 4: Simplify right side
    468.86x = 190,523.00
  5. Step 5: Solve for x
    x = 190,523.00/468.86
  6. Step 6: Final answer
    x = 406.36

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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.