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Finding the Fourth Proportional to 333.12, 457.60 and 289.28

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Solution

The fourth proportional to 333.12, 457.60 and 289.28 is: 397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.12 : 457.60 = 289.28 : x
  2. Step 2: Convert to fraction form
    333.12/457.60 = 289.28/x
  3. Step 3: Cross multiply
    333.12x = 457.60 × 289.28
  4. Step 4: Simplify right side
    333.12x = 132,374.53
  5. Step 5: Solve for x
    x = 132,374.53/333.12
  6. Step 6: Final answer
    x = 397.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.