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Finding the Fourth Proportional to 278.91, 384.87 and 160.91

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Solution

The fourth proportional to 278.91, 384.87 and 160.91 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.91 : 384.87 = 160.91 : x
  2. Step 2: Convert to fraction form
    278.91/384.87 = 160.91/x
  3. Step 3: Cross multiply
    278.91x = 384.87 × 160.91
  4. Step 4: Simplify right side
    278.91x = 61,927.51
  5. Step 5: Solve for x
    x = 61,927.51/278.91
  6. Step 6: Final answer
    x = 222.03

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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.