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Finding the Fourth Proportional to 465.09, 641.55 and 290.13

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Solution

The fourth proportional to 465.09, 641.55 and 290.13 is: 400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.09 : 641.55 = 290.13 : x
  2. Step 2: Convert to fraction form
    465.09/641.55 = 290.13/x
  3. Step 3: Cross multiply
    465.09x = 641.55 × 290.13
  4. Step 4: Simplify right side
    465.09x = 186,132.90
  5. Step 5: Solve for x
    x = 186,132.90/465.09
  6. Step 6: Final answer
    x = 400.21

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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.