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Finding the Fourth Proportional to 433.15, 597.78 and 322.38

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Solution

The fourth proportional to 433.15, 597.78 and 322.38 is: 444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.15 : 597.78 = 322.38 : x
  2. Step 2: Convert to fraction form
    433.15/597.78 = 322.38/x
  3. Step 3: Cross multiply
    433.15x = 597.78 × 322.38
  4. Step 4: Simplify right side
    433.15x = 192,712.32
  5. Step 5: Solve for x
    x = 192,712.32/433.15
  6. Step 6: Final answer
    x = 444.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.