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Finding the Fourth Proportional to 326.14, 486.58 and 310.64

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Solution

The fourth proportional to 326.14, 486.58 and 310.64 is: 463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 486.58 = 310.64 : x
  2. Step 2: Convert to fraction form
    326.14/486.58 = 310.64/x
  3. Step 3: Cross multiply
    326.14x = 486.58 × 310.64
  4. Step 4: Simplify right side
    326.14x = 151,151.21
  5. Step 5: Solve for x
    x = 151,151.21/326.14
  6. Step 6: Final answer
    x = 463.45

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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.