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Finding the Fourth Proportional to 360.80, 538.34 and 333.36

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Solution

The fourth proportional to 360.80, 538.34 and 333.36 is: 497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.80 : 538.34 = 333.36 : x
  2. Step 2: Convert to fraction form
    360.80/538.34 = 333.36/x
  3. Step 3: Cross multiply
    360.80x = 538.34 × 333.36
  4. Step 4: Simplify right side
    360.80x = 179,461.02
  5. Step 5: Solve for x
    x = 179,461.02/360.80
  6. Step 6: Final answer
    x = 497.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.