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Finding the Fourth Proportional to 307.86, 459.83 and 306.26

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Solution

The fourth proportional to 307.86, 459.83 and 306.26 is: 457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.86 : 459.83 = 306.26 : x
  2. Step 2: Convert to fraction form
    307.86/459.83 = 306.26/x
  3. Step 3: Cross multiply
    307.86x = 459.83 × 306.26
  4. Step 4: Simplify right side
    307.86x = 140,827.54
  5. Step 5: Solve for x
    x = 140,827.54/307.86
  6. Step 6: Final answer
    x = 457.44

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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.