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Finding the Fourth Proportional to 469.24, 704.39 and 238.39

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Solution

The fourth proportional to 469.24, 704.39 and 238.39 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.24 : 704.39 = 238.39 : x
  2. Step 2: Convert to fraction form
    469.24/704.39 = 238.39/x
  3. Step 3: Cross multiply
    469.24x = 704.39 × 238.39
  4. Step 4: Simplify right side
    469.24x = 167,916.58
  5. Step 5: Solve for x
    x = 167,916.58/469.24
  6. Step 6: Final answer
    x = 357.85

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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.