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Finding the Fourth Proportional to 328.61, 494.77 and 290.33

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Solution

The fourth proportional to 328.61, 494.77 and 290.33 is: 437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.61 : 494.77 = 290.33 : x
  2. Step 2: Convert to fraction form
    328.61/494.77 = 290.33/x
  3. Step 3: Cross multiply
    328.61x = 494.77 × 290.33
  4. Step 4: Simplify right side
    328.61x = 143,645.12
  5. Step 5: Solve for x
    x = 143,645.12/328.61
  6. Step 6: Final answer
    x = 437.13

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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.