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Finding the Fourth Proportional to 309.79, 464.08 and 172.42

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Solution

The fourth proportional to 309.79, 464.08 and 172.42 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.79 : 464.08 = 172.42 : x
  2. Step 2: Convert to fraction form
    309.79/464.08 = 172.42/x
  3. Step 3: Cross multiply
    309.79x = 464.08 × 172.42
  4. Step 4: Simplify right side
    309.79x = 80,015.51
  5. Step 5: Solve for x
    x = 80,015.51/309.79
  6. Step 6: Final answer
    x = 258.29

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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.