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Finding the Fourth Proportional to 278.15, 383.85 and 153.83

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Solution

The fourth proportional to 278.15, 383.85 and 153.83 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 383.85 = 153.83 : x
  2. Step 2: Convert to fraction form
    278.15/383.85 = 153.83/x
  3. Step 3: Cross multiply
    278.15x = 383.85 × 153.83
  4. Step 4: Simplify right side
    278.15x = 59,045.73
  5. Step 5: Solve for x
    x = 59,045.73/278.15
  6. Step 6: Final answer
    x = 212.28

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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.