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Finding the Fourth Proportional to 379.99, 567.61 and 263.45

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Solution

The fourth proportional to 379.99, 567.61 and 263.45 is: 393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.99 : 567.61 = 263.45 : x
  2. Step 2: Convert to fraction form
    379.99/567.61 = 263.45/x
  3. Step 3: Cross multiply
    379.99x = 567.61 × 263.45
  4. Step 4: Simplify right side
    379.99x = 149,537.61
  5. Step 5: Solve for x
    x = 149,537.61/379.99
  6. Step 6: Final answer
    x = 393.53

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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.