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Finding the Fourth Proportional to 278.26, 383.95 and 160.24

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Solution

The fourth proportional to 278.26, 383.95 and 160.24 is: 221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.26 : 383.95 = 160.24 : x
  2. Step 2: Convert to fraction form
    278.26/383.95 = 160.24/x
  3. Step 3: Cross multiply
    278.26x = 383.95 × 160.24
  4. Step 4: Simplify right side
    278.26x = 61,524.15
  5. Step 5: Solve for x
    x = 61,524.15/278.26
  6. Step 6: Final answer
    x = 221.10

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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.