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Finding the Fourth Proportional to 309.91, 462.46 and 277.06

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Solution

The fourth proportional to 309.91, 462.46 and 277.06 is: 413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.91 : 462.46 = 277.06 : x
  2. Step 2: Convert to fraction form
    309.91/462.46 = 277.06/x
  3. Step 3: Cross multiply
    309.91x = 462.46 × 277.06
  4. Step 4: Simplify right side
    309.91x = 128,129.17
  5. Step 5: Solve for x
    x = 128,129.17/309.91
  6. Step 6: Final answer
    x = 413.44

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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.