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Finding the Fourth Proportional to 278.65, 384.49 and 154.32

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Solution

The fourth proportional to 278.65, 384.49 and 154.32 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.65 : 384.49 = 154.32 : x
  2. Step 2: Convert to fraction form
    278.65/384.49 = 154.32/x
  3. Step 3: Cross multiply
    278.65x = 384.49 × 154.32
  4. Step 4: Simplify right side
    278.65x = 59,333.25
  5. Step 5: Solve for x
    x = 59,333.25/278.65
  6. Step 6: Final answer
    x = 212.93

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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.