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Finding the Fourth Proportional to 278.31, 384.08 and 153.98

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Solution

The fourth proportional to 278.31, 384.08 and 153.98 is: 212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 384.08 = 153.98 : x
  2. Step 2: Convert to fraction form
    278.31/384.08 = 153.98/x
  3. Step 3: Cross multiply
    278.31x = 384.08 × 153.98
  4. Step 4: Simplify right side
    278.31x = 59,137.95
  5. Step 5: Solve for x
    x = 59,137.95/278.31
  6. Step 6: Final answer
    x = 212.49

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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.