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Finding the Fourth Proportional to 434.09, 649.91 and 296.93

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Solution

The fourth proportional to 434.09, 649.91 and 296.93 is: 444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.09 : 649.91 = 296.93 : x
  2. Step 2: Convert to fraction form
    434.09/649.91 = 296.93/x
  3. Step 3: Cross multiply
    434.09x = 649.91 × 296.93
  4. Step 4: Simplify right side
    434.09x = 192,973.04
  5. Step 5: Solve for x
    x = 192,973.04/434.09
  6. Step 6: Final answer
    x = 444.55

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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.