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Finding the Fourth Proportional to 465.33, 640.47 and 340.80

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Solution

The fourth proportional to 465.33, 640.47 and 340.80 is: 469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.33 : 640.47 = 340.80 : x
  2. Step 2: Convert to fraction form
    465.33/640.47 = 340.80/x
  3. Step 3: Cross multiply
    465.33x = 640.47 × 340.80
  4. Step 4: Simplify right side
    465.33x = 218,272.18
  5. Step 5: Solve for x
    x = 218,272.18/465.33
  6. Step 6: Final answer
    x = 469.07

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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.