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Finding the Fourth Proportional to 465.45, 640.61 and 340.91

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Solution

The fourth proportional to 465.45, 640.61 and 340.91 is: 469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.45 : 640.61 = 340.91 : x
  2. Step 2: Convert to fraction form
    465.45/640.61 = 340.91/x
  3. Step 3: Cross multiply
    465.45x = 640.61 × 340.91
  4. Step 4: Simplify right side
    465.45x = 218,389.13
  5. Step 5: Solve for x
    x = 218,389.13/465.45
  6. Step 6: Final answer
    x = 469.20

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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.