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Finding the Fourth Proportional to 309.36, 424.64 and 301.76

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Solution

The fourth proportional to 309.36, 424.64 and 301.76 is: 414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.36 : 424.64 = 301.76 : x
  2. Step 2: Convert to fraction form
    309.36/424.64 = 301.76/x
  3. Step 3: Cross multiply
    309.36x = 424.64 × 301.76
  4. Step 4: Simplify right side
    309.36x = 128,139.37
  5. Step 5: Solve for x
    x = 128,139.37/309.36
  6. Step 6: Final answer
    x = 414.21

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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.