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Finding the Fourth Proportional to 276.12, 413.64 and 266.16

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Solution

The fourth proportional to 276.12, 413.64 and 266.16 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 413.64 = 266.16 : x
  2. Step 2: Convert to fraction form
    276.12/413.64 = 266.16/x
  3. Step 3: Cross multiply
    276.12x = 413.64 × 266.16
  4. Step 4: Simplify right side
    276.12x = 110,094.42
  5. Step 5: Solve for x
    x = 110,094.42/276.12
  6. Step 6: Final answer
    x = 398.72

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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.