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Finding the Fourth Proportional to 309.21, 423.61 and 297.51

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Solution

The fourth proportional to 309.21, 423.61 and 297.51 is: 407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.21 : 423.61 = 297.51 : x
  2. Step 2: Convert to fraction form
    309.21/423.61 = 297.51/x
  3. Step 3: Cross multiply
    309.21x = 423.61 × 297.51
  4. Step 4: Simplify right side
    309.21x = 126,028.71
  5. Step 5: Solve for x
    x = 126,028.71/309.21
  6. Step 6: Final answer
    x = 407.58

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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.