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Finding the Fourth Proportional to 428.21, 590.86 and 251.16

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Solution

The fourth proportional to 428.21, 590.86 and 251.16 is: 346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.21 : 590.86 = 251.16 : x
  2. Step 2: Convert to fraction form
    428.21/590.86 = 251.16/x
  3. Step 3: Cross multiply
    428.21x = 590.86 × 251.16
  4. Step 4: Simplify right side
    428.21x = 148,400.40
  5. Step 5: Solve for x
    x = 148,400.40/428.21
  6. Step 6: Final answer
    x = 346.56

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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.