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Finding the Fourth Proportional to 319.50, 441.09 and 242.01

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Solution

The fourth proportional to 319.50, 441.09 and 242.01 is: 334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 441.09 = 242.01 : x
  2. Step 2: Convert to fraction form
    319.50/441.09 = 242.01/x
  3. Step 3: Cross multiply
    319.50x = 441.09 × 242.01
  4. Step 4: Simplify right side
    319.50x = 106,748.19
  5. Step 5: Solve for x
    x = 106,748.19/319.50
  6. Step 6: Final answer
    x = 334.11

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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.