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Finding the Fourth Proportional to 433.26, 647.40 and 295.16

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Solution

The fourth proportional to 433.26, 647.40 and 295.16 is: 441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 647.40 = 295.16 : x
  2. Step 2: Convert to fraction form
    433.26/647.40 = 295.16/x
  3. Step 3: Cross multiply
    433.26x = 647.40 × 295.16
  4. Step 4: Simplify right side
    433.26x = 191,086.58
  5. Step 5: Solve for x
    x = 191,086.58/433.26
  6. Step 6: Final answer
    x = 441.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.