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Finding the Fourth Proportional to 590.48, 885.48 and 205.64

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Solution

The fourth proportional to 590.48, 885.48 and 205.64 is: 308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.48 : 885.48 = 205.64 : x
  2. Step 2: Convert to fraction form
    590.48/885.48 = 205.64/x
  3. Step 3: Cross multiply
    590.48x = 885.48 × 205.64
  4. Step 4: Simplify right side
    590.48x = 182,090.11
  5. Step 5: Solve for x
    x = 182,090.11/590.48
  6. Step 6: Final answer
    x = 308.38

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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.