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Finding the Fourth Proportional to 278.07, 383.70 and 160.06

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Solution

The fourth proportional to 278.07, 383.70 and 160.06 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.07 : 383.70 = 160.06 : x
  2. Step 2: Convert to fraction form
    278.07/383.70 = 160.06/x
  3. Step 3: Cross multiply
    278.07x = 383.70 × 160.06
  4. Step 4: Simplify right side
    278.07x = 61,415.02
  5. Step 5: Solve for x
    x = 61,415.02/278.07
  6. Step 6: Final answer
    x = 220.86

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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.