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Finding the Fourth Proportional to 594.05, 891.18 and 204.09

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Solution

The fourth proportional to 594.05, 891.18 and 204.09 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.05 : 891.18 = 204.09 : x
  2. Step 2: Convert to fraction form
    594.05/891.18 = 204.09/x
  3. Step 3: Cross multiply
    594.05x = 891.18 × 204.09
  4. Step 4: Simplify right side
    594.05x = 181,885.82
  5. Step 5: Solve for x
    x = 181,885.82/594.05
  6. Step 6: Final answer
    x = 306.18

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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.