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Finding the Fourth Proportional to 309.61, 464.51 and 194.23

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Solution

The fourth proportional to 309.61, 464.51 and 194.23 is: 291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.61 : 464.51 = 194.23 : x
  2. Step 2: Convert to fraction form
    309.61/464.51 = 194.23/x
  3. Step 3: Cross multiply
    309.61x = 464.51 × 194.23
  4. Step 4: Simplify right side
    309.61x = 90,221.78
  5. Step 5: Solve for x
    x = 90,221.78/309.61
  6. Step 6: Final answer
    x = 291.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.