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Finding the Fourth Proportional to 433.19, 648.63 and 296.51

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Solution

The fourth proportional to 433.19, 648.63 and 296.51 is: 443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.19 : 648.63 = 296.51 : x
  2. Step 2: Convert to fraction form
    433.19/648.63 = 296.51/x
  3. Step 3: Cross multiply
    433.19x = 648.63 × 296.51
  4. Step 4: Simplify right side
    433.19x = 192,322.04
  5. Step 5: Solve for x
    x = 192,322.04/433.19
  6. Step 6: Final answer
    x = 443.96

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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.