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Finding the Fourth Proportional to 433, 597.72 and 300.88

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Solution

The fourth proportional to 433, 597.72 and 300.88 is: 415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433 : 597.72 = 300.88 : x
  2. Step 2: Convert to fraction form
    433/597.72 = 300.88/x
  3. Step 3: Cross multiply
    433x = 597.72 × 300.88
  4. Step 4: Simplify right side
    433x = 179,841.99
  5. Step 5: Solve for x
    x = 179,841.99/433
  6. Step 6: Final answer
    x = 415.34

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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.