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Finding the Fourth Proportional to 428.01, 590.81 and 288.52

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Solution

The fourth proportional to 428.01, 590.81 and 288.52 is: 398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.01 : 590.81 = 288.52 : x
  2. Step 2: Convert to fraction form
    428.01/590.81 = 288.52/x
  3. Step 3: Cross multiply
    428.01x = 590.81 × 288.52
  4. Step 4: Simplify right side
    428.01x = 170,461.96
  5. Step 5: Solve for x
    x = 170,461.96/428.01
  6. Step 6: Final answer
    x = 398.27

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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.