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Finding the Fourth Proportional to 397.78, 548.94 and 242.50

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Solution

The fourth proportional to 397.78, 548.94 and 242.50 is: 334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.78 : 548.94 = 242.50 : x
  2. Step 2: Convert to fraction form
    397.78/548.94 = 242.50/x
  3. Step 3: Cross multiply
    397.78x = 548.94 × 242.50
  4. Step 4: Simplify right side
    397.78x = 133,117.95
  5. Step 5: Solve for x
    x = 133,117.95/397.78
  6. Step 6: Final answer
    x = 334.65

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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.