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Finding the Fourth Proportional to 307.65, 459.05 and 276.99

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Solution

The fourth proportional to 307.65, 459.05 and 276.99 is: 413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.65 : 459.05 = 276.99 : x
  2. Step 2: Convert to fraction form
    307.65/459.05 = 276.99/x
  3. Step 3: Cross multiply
    307.65x = 459.05 × 276.99
  4. Step 4: Simplify right side
    307.65x = 127,150.87
  5. Step 5: Solve for x
    x = 127,150.87/307.65
  6. Step 6: Final answer
    x = 413.30

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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.