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Finding the Fourth Proportional to 428.02, 590.36 and 393.16

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Solution

The fourth proportional to 428.02, 590.36 and 393.16 is: 542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.02 : 590.36 = 393.16 : x
  2. Step 2: Convert to fraction form
    428.02/590.36 = 393.16/x
  3. Step 3: Cross multiply
    428.02x = 590.36 × 393.16
  4. Step 4: Simplify right side
    428.02x = 232,105.94
  5. Step 5: Solve for x
    x = 232,105.94/428.02
  6. Step 6: Final answer
    x = 542.28

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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.