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Finding the Fourth Proportional to 668.19, 1,002.30 and 181.23

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Solution

The fourth proportional to 668.19, 1,002.30 and 181.23 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.19 : 1,002.30 = 181.23 : x
  2. Step 2: Convert to fraction form
    668.19/1,002.30 = 181.23/x
  3. Step 3: Cross multiply
    668.19x = 1,002.30 × 181.23
  4. Step 4: Simplify right side
    668.19x = 181,646.83
  5. Step 5: Solve for x
    x = 181,646.83/668.19
  6. Step 6: Final answer
    x = 271.85

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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.