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Finding the Fourth Proportional to 301.24, 413 and 295.76

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Solution

The fourth proportional to 301.24, 413 and 295.76 is: 405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.24 : 413 = 295.76 : x
  2. Step 2: Convert to fraction form
    301.24/413 = 295.76/x
  3. Step 3: Cross multiply
    301.24x = 413 × 295.76
  4. Step 4: Simplify right side
    301.24x = 122,148.88
  5. Step 5: Solve for x
    x = 122,148.88/301.24
  6. Step 6: Final answer
    x = 405.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.