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Finding the Fourth Proportional to 431.19, 642.26 and 364.77

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Solution

The fourth proportional to 431.19, 642.26 and 364.77 is: 543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.19 : 642.26 = 364.77 : x
  2. Step 2: Convert to fraction form
    431.19/642.26 = 364.77/x
  3. Step 3: Cross multiply
    431.19x = 642.26 × 364.77
  4. Step 4: Simplify right side
    431.19x = 234,278.09
  5. Step 5: Solve for x
    x = 234,278.09/431.19
  6. Step 6: Final answer
    x = 543.33

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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.