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Finding the Fourth Proportional to 278.06, 416.51 and 265.38

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Solution

The fourth proportional to 278.06, 416.51 and 265.38 is: 397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 416.51 = 265.38 : x
  2. Step 2: Convert to fraction form
    278.06/416.51 = 265.38/x
  3. Step 3: Cross multiply
    278.06x = 416.51 × 265.38
  4. Step 4: Simplify right side
    278.06x = 110,534.09
  5. Step 5: Solve for x
    x = 110,534.09/278.06
  6. Step 6: Final answer
    x = 397.53

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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.