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Finding the Fourth Proportional to 428.87, 590.74 and 304.31

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Solution

The fourth proportional to 428.87, 590.74 and 304.31 is: 419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.87 : 590.74 = 304.31 : x
  2. Step 2: Convert to fraction form
    428.87/590.74 = 304.31/x
  3. Step 3: Cross multiply
    428.87x = 590.74 × 304.31
  4. Step 4: Simplify right side
    428.87x = 179,768.81
  5. Step 5: Solve for x
    x = 179,768.81/428.87
  6. Step 6: Final answer
    x = 419.17

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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.