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Finding the Fourth Proportional to 465.16, 641.64 and 290.56

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Solution

The fourth proportional to 465.16, 641.64 and 290.56 is: 400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.16 : 641.64 = 290.56 : x
  2. Step 2: Convert to fraction form
    465.16/641.64 = 290.56/x
  3. Step 3: Cross multiply
    465.16x = 641.64 × 290.56
  4. Step 4: Simplify right side
    465.16x = 186,434.92
  5. Step 5: Solve for x
    x = 186,434.92/465.16
  6. Step 6: Final answer
    x = 400.80

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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.