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Finding the Fourth Proportional to 259.70, 391.49 and 242.08

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Solution

The fourth proportional to 259.70, 391.49 and 242.08 is: 364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.70 : 391.49 = 242.08 : x
  2. Step 2: Convert to fraction form
    259.70/391.49 = 242.08/x
  3. Step 3: Cross multiply
    259.70x = 391.49 × 242.08
  4. Step 4: Simplify right side
    259.70x = 94,771.53
  5. Step 5: Solve for x
    x = 94,771.53/259.70
  6. Step 6: Final answer
    x = 364.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.