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Finding the Fourth Proportional to 428.35, 590.94 and 270.91

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Solution

The fourth proportional to 428.35, 590.94 and 270.91 is: 373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.35 : 590.94 = 270.91 : x
  2. Step 2: Convert to fraction form
    428.35/590.94 = 270.91/x
  3. Step 3: Cross multiply
    428.35x = 590.94 × 270.91
  4. Step 4: Simplify right side
    428.35x = 160,088.60
  5. Step 5: Solve for x
    x = 160,088.60/428.35
  6. Step 6: Final answer
    x = 373.73

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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.