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Finding the Fourth Proportional to 278.22, 383.95 and 153.89

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Solution

The fourth proportional to 278.22, 383.95 and 153.89 is: 212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 383.95 = 153.89 : x
  2. Step 2: Convert to fraction form
    278.22/383.95 = 153.89/x
  3. Step 3: Cross multiply
    278.22x = 383.95 × 153.89
  4. Step 4: Simplify right side
    278.22x = 59,086.07
  5. Step 5: Solve for x
    x = 59,086.07/278.22
  6. Step 6: Final answer
    x = 212.37

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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.