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Finding the Fourth Proportional to 278.01, 416.60 and 247.63

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Solution

The fourth proportional to 278.01, 416.60 and 247.63 is: 371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.01 : 416.60 = 247.63 : x
  2. Step 2: Convert to fraction form
    278.01/416.60 = 247.63/x
  3. Step 3: Cross multiply
    278.01x = 416.60 × 247.63
  4. Step 4: Simplify right side
    278.01x = 103,162.66
  5. Step 5: Solve for x
    x = 103,162.66/278.01
  6. Step 6: Final answer
    x = 371.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.