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Finding the Fourth Proportional to 307.69, 426.54 and 291.85

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Solution

The fourth proportional to 307.69, 426.54 and 291.85 is: 404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 426.54 = 291.85 : x
  2. Step 2: Convert to fraction form
    307.69/426.54 = 291.85/x
  3. Step 3: Cross multiply
    307.69x = 426.54 × 291.85
  4. Step 4: Simplify right side
    307.69x = 124,484.63
  5. Step 5: Solve for x
    x = 124,484.63/307.69
  6. Step 6: Final answer
    x = 404.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.