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Finding the Fourth Proportional to 259.20, 357.21 and 242.46

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Solution

The fourth proportional to 259.20, 357.21 and 242.46 is: 334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 357.21 = 242.46 : x
  2. Step 2: Convert to fraction form
    259.20/357.21 = 242.46/x
  3. Step 3: Cross multiply
    259.20x = 357.21 × 242.46
  4. Step 4: Simplify right side
    259.20x = 86,609.14
  5. Step 5: Solve for x
    x = 86,609.14/259.20
  6. Step 6: Final answer
    x = 334.14

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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.