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Finding the Fourth Proportional to 326.16, 486.72 and 289.80

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Solution

The fourth proportional to 326.16, 486.72 and 289.80 is: 432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.16 : 486.72 = 289.80 : x
  2. Step 2: Convert to fraction form
    326.16/486.72 = 289.80/x
  3. Step 3: Cross multiply
    326.16x = 486.72 × 289.80
  4. Step 4: Simplify right side
    326.16x = 141,051.46
  5. Step 5: Solve for x
    x = 141,051.46/326.16
  6. Step 6: Final answer
    x = 432.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.