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Finding the Fourth Proportional to 278.93, 416.55 and 238.02

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Solution

The fourth proportional to 278.93, 416.55 and 238.02 is: 355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 416.55 = 238.02 : x
  2. Step 2: Convert to fraction form
    278.93/416.55 = 238.02/x
  3. Step 3: Cross multiply
    278.93x = 416.55 × 238.02
  4. Step 4: Simplify right side
    278.93x = 99,147.23
  5. Step 5: Solve for x
    x = 99,147.23/278.93
  6. Step 6: Final answer
    x = 355.46

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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.