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Finding the Fourth Proportional to 465.02, 641.28 and 340.79

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Solution

The fourth proportional to 465.02, 641.28 and 340.79 is: 469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 641.28 = 340.79 : x
  2. Step 2: Convert to fraction form
    465.02/641.28 = 340.79/x
  3. Step 3: Cross multiply
    465.02x = 641.28 × 340.79
  4. Step 4: Simplify right side
    465.02x = 218,539.88
  5. Step 5: Solve for x
    x = 218,539.88/465.02
  6. Step 6: Final answer
    x = 469.96

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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.