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Finding the Fourth Proportional to 334.88, 461.62 and 288.00

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Solution

The fourth proportional to 334.88, 461.62 and 288.00 is: 397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.88 : 461.62 = 288.00 : x
  2. Step 2: Convert to fraction form
    334.88/461.62 = 288.00/x
  3. Step 3: Cross multiply
    334.88x = 461.62 × 288.00
  4. Step 4: Simplify right side
    334.88x = 132,945.41
  5. Step 5: Solve for x
    x = 132,945.41/334.88
  6. Step 6: Final answer
    x = 397.00

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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.