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Finding the Fourth Proportional to 278.21, 383.95 and 160.20

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Solution

The fourth proportional to 278.21, 383.95 and 160.20 is: 221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.21 : 383.95 = 160.20 : x
  2. Step 2: Convert to fraction form
    278.21/383.95 = 160.20/x
  3. Step 3: Cross multiply
    278.21x = 383.95 × 160.20
  4. Step 4: Simplify right side
    278.21x = 61,509.62
  5. Step 5: Solve for x
    x = 61,509.62/278.21
  6. Step 6: Final answer
    x = 221.09

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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.