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Finding the Fourth Proportional to 468.56, 646.80 and 294.14

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Solution

The fourth proportional to 468.56, 646.80 and 294.14 is: 406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 646.80 = 294.14 : x
  2. Step 2: Convert to fraction form
    468.56/646.80 = 294.14/x
  3. Step 3: Cross multiply
    468.56x = 646.80 × 294.14
  4. Step 4: Simplify right side
    468.56x = 190,249.75
  5. Step 5: Solve for x
    x = 190,249.75/468.56
  6. Step 6: Final answer
    x = 406.03

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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.