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Finding the Fourth Proportional to 428.03, 590.42 and 358.44

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Solution

The fourth proportional to 428.03, 590.42 and 358.44 is: 494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.03 : 590.42 = 358.44 : x
  2. Step 2: Convert to fraction form
    428.03/590.42 = 358.44/x
  3. Step 3: Cross multiply
    428.03x = 590.42 × 358.44
  4. Step 4: Simplify right side
    428.03x = 211,632.15
  5. Step 5: Solve for x
    x = 211,632.15/428.03
  6. Step 6: Final answer
    x = 494.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.