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Finding the Fourth Proportional to 590.18, 884.06 and 281.09

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Solution

The fourth proportional to 590.18, 884.06 and 281.09 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.18 : 884.06 = 281.09 : x
  2. Step 2: Convert to fraction form
    590.18/884.06 = 281.09/x
  3. Step 3: Cross multiply
    590.18x = 884.06 × 281.09
  4. Step 4: Simplify right side
    590.18x = 248,502.28
  5. Step 5: Solve for x
    x = 248,502.28/590.18
  6. Step 6: Final answer
    x = 421.07

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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.