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Finding the Fourth Proportional to 278.66, 416.30 and 180.36

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Solution

The fourth proportional to 278.66, 416.30 and 180.36 is: 269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.66 : 416.30 = 180.36 : x
  2. Step 2: Convert to fraction form
    278.66/416.30 = 180.36/x
  3. Step 3: Cross multiply
    278.66x = 416.30 × 180.36
  4. Step 4: Simplify right side
    278.66x = 75,084.32
  5. Step 5: Solve for x
    x = 75,084.32/278.66
  6. Step 6: Final answer
    x = 269.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.