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Finding the Fourth Proportional to 465.02, 641.48 and 290.46

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Solution

The fourth proportional to 465.02, 641.48 and 290.46 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 641.48 = 290.46 : x
  2. Step 2: Convert to fraction form
    465.02/641.48 = 290.46/x
  3. Step 3: Cross multiply
    465.02x = 641.48 × 290.46
  4. Step 4: Simplify right side
    465.02x = 186,322.83
  5. Step 5: Solve for x
    x = 186,322.83/465.02
  6. Step 6: Final answer
    x = 400.68

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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.