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Finding the Fourth Proportional to 431.23, 646.83 and 123.08

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Solution

The fourth proportional to 431.23, 646.83 and 123.08 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.23 : 646.83 = 123.08 : x
  2. Step 2: Convert to fraction form
    431.23/646.83 = 123.08/x
  3. Step 3: Cross multiply
    431.23x = 646.83 × 123.08
  4. Step 4: Simplify right side
    431.23x = 79,611.84
  5. Step 5: Solve for x
    x = 79,611.84/431.23
  6. Step 6: Final answer
    x = 184.62

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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.