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Finding the Fourth Proportional to 428.05, 590.50 and 288.20

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Solution

The fourth proportional to 428.05, 590.50 and 288.20 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.05 : 590.50 = 288.20 : x
  2. Step 2: Convert to fraction form
    428.05/590.50 = 288.20/x
  3. Step 3: Cross multiply
    428.05x = 590.50 × 288.20
  4. Step 4: Simplify right side
    428.05x = 170,180.66
  5. Step 5: Solve for x
    x = 170,180.66/428.05
  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.