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Finding the Fourth Proportional to 595.80, 893.78 and 205.90

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Solution

The fourth proportional to 595.80, 893.78 and 205.90 is: 308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.80 : 893.78 = 205.90 : x
  2. Step 2: Convert to fraction form
    595.80/893.78 = 205.90/x
  3. Step 3: Cross multiply
    595.80x = 893.78 × 205.90
  4. Step 4: Simplify right side
    595.80x = 184,023.80
  5. Step 5: Solve for x
    x = 184,023.80/595.80
  6. Step 6: Final answer
    x = 308.87

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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.