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Finding the Fourth Proportional to 590, 885.36 and 205.34

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Solution

The fourth proportional to 590, 885.36 and 205.34 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 885.36 = 205.34 : x
  2. Step 2: Convert to fraction form
    590/885.36 = 205.34/x
  3. Step 3: Cross multiply
    590x = 885.36 × 205.34
  4. Step 4: Simplify right side
    590x = 181,799.82
  5. Step 5: Solve for x
    x = 181,799.82/590
  6. Step 6: Final answer
    x = 308.14

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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.