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Finding the Fourth Proportional to 469.88, 704.56 and 181.08

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Solution

The fourth proportional to 469.88, 704.56 and 181.08 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.88 : 704.56 = 181.08 : x
  2. Step 2: Convert to fraction form
    469.88/704.56 = 181.08/x
  3. Step 3: Cross multiply
    469.88x = 704.56 × 181.08
  4. Step 4: Simplify right side
    469.88x = 127,581.72
  5. Step 5: Solve for x
    x = 127,581.72/469.88
  6. Step 6: Final answer
    x = 271.52

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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.