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Finding the Fourth Proportional to 326.60, 491.75 and 288.32

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Solution

The fourth proportional to 326.60, 491.75 and 288.32 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.60 : 491.75 = 288.32 : x
  2. Step 2: Convert to fraction form
    326.60/491.75 = 288.32/x
  3. Step 3: Cross multiply
    326.60x = 491.75 × 288.32
  4. Step 4: Simplify right side
    326.60x = 141,777.46
  5. Step 5: Solve for x
    x = 141,777.46/326.60
  6. Step 6: Final answer
    x = 434.11

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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.