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Finding the Fourth Proportional to 469.30, 704 and 161.08

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Solution

The fourth proportional to 469.30, 704 and 161.08 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.30 : 704 = 161.08 : x
  2. Step 2: Convert to fraction form
    469.30/704 = 161.08/x
  3. Step 3: Cross multiply
    469.30x = 704 × 161.08
  4. Step 4: Simplify right side
    469.30x = 113,400.32
  5. Step 5: Solve for x
    x = 113,400.32/469.30
  6. Step 6: Final answer
    x = 241.64

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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.