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Finding the Fourth Proportional to 365.07, 546.66 and 242.94

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Solution

The fourth proportional to 365.07, 546.66 and 242.94 is: 363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.07 : 546.66 = 242.94 : x
  2. Step 2: Convert to fraction form
    365.07/546.66 = 242.94/x
  3. Step 3: Cross multiply
    365.07x = 546.66 × 242.94
  4. Step 4: Simplify right side
    365.07x = 132,805.58
  5. Step 5: Solve for x
    x = 132,805.58/365.07
  6. Step 6: Final answer
    x = 363.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.