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Finding the Fourth Proportional to 428.37, 590.91 and 270.95

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Solution

The fourth proportional to 428.37, 590.91 and 270.95 is: 373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.37 : 590.91 = 270.95 : x
  2. Step 2: Convert to fraction form
    428.37/590.91 = 270.95/x
  3. Step 3: Cross multiply
    428.37x = 590.91 × 270.95
  4. Step 4: Simplify right side
    428.37x = 160,104.11
  5. Step 5: Solve for x
    x = 160,104.11/428.37
  6. Step 6: Final answer
    x = 373.75

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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.