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Finding the Fourth Proportional to 278.01, 383.46 and 190.53

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Solution

The fourth proportional to 278.01, 383.46 and 190.53 is: 262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.01 : 383.46 = 190.53 : x
  2. Step 2: Convert to fraction form
    278.01/383.46 = 190.53/x
  3. Step 3: Cross multiply
    278.01x = 383.46 × 190.53
  4. Step 4: Simplify right side
    278.01x = 73,060.63
  5. Step 5: Solve for x
    x = 73,060.63/278.01
  6. Step 6: Final answer
    x = 262.80

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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.