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Finding the Fourth Proportional to 296.71, 445.40 and 123.50

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Solution

The fourth proportional to 296.71, 445.40 and 123.50 is: 185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.71 : 445.40 = 123.50 : x
  2. Step 2: Convert to fraction form
    296.71/445.40 = 123.50/x
  3. Step 3: Cross multiply
    296.71x = 445.40 × 123.50
  4. Step 4: Simplify right side
    296.71x = 55,007.51
  5. Step 5: Solve for x
    x = 55,007.51/296.71
  6. Step 6: Final answer
    x = 185.39

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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.