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Finding the Fourth Proportional to 364.97, 504.29 and 291.89

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Solution

The fourth proportional to 364.97, 504.29 and 291.89 is: 403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.97 : 504.29 = 291.89 : x
  2. Step 2: Convert to fraction form
    364.97/504.29 = 291.89/x
  3. Step 3: Cross multiply
    364.97x = 504.29 × 291.89
  4. Step 4: Simplify right side
    364.97x = 147,195.42
  5. Step 5: Solve for x
    x = 147,195.42/364.97
  6. Step 6: Final answer
    x = 403.31

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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.