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Finding the Fourth Proportional to 428.21, 590.58 and 288.27

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Solution

The fourth proportional to 428.21, 590.58 and 288.27 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.21 : 590.58 = 288.27 : x
  2. Step 2: Convert to fraction form
    428.21/590.58 = 288.27/x
  3. Step 3: Cross multiply
    428.21x = 590.58 × 288.27
  4. Step 4: Simplify right side
    428.21x = 170,246.50
  5. Step 5: Solve for x
    x = 170,246.50/428.21
  6. Step 6: Final answer
    x = 397.58

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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.