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Finding the Fourth Proportional to 340.09, 469.26 and 190.69

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Solution

The fourth proportional to 340.09, 469.26 and 190.69 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.09 : 469.26 = 190.69 : x
  2. Step 2: Convert to fraction form
    340.09/469.26 = 190.69/x
  3. Step 3: Cross multiply
    340.09x = 469.26 × 190.69
  4. Step 4: Simplify right side
    340.09x = 89,483.19
  5. Step 5: Solve for x
    x = 89,483.19/340.09
  6. Step 6: Final answer
    x = 263.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.