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Finding the Fourth Proportional to 322.67, 486.06 and 290.63

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Solution

The fourth proportional to 322.67, 486.06 and 290.63 is: 437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.67 : 486.06 = 290.63 : x
  2. Step 2: Convert to fraction form
    322.67/486.06 = 290.63/x
  3. Step 3: Cross multiply
    322.67x = 486.06 × 290.63
  4. Step 4: Simplify right side
    322.67x = 141,263.62
  5. Step 5: Solve for x
    x = 141,263.62/322.67
  6. Step 6: Final answer
    x = 437.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.