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Finding the Fourth Proportional to 326.62, 492.77 and 290.98

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Solution

The fourth proportional to 326.62, 492.77 and 290.98 is: 439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.62 : 492.77 = 290.98 : x
  2. Step 2: Convert to fraction form
    326.62/492.77 = 290.98/x
  3. Step 3: Cross multiply
    326.62x = 492.77 × 290.98
  4. Step 4: Simplify right side
    326.62x = 143,386.21
  5. Step 5: Solve for x
    x = 143,386.21/326.62
  6. Step 6: Final answer
    x = 439.00

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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.