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Finding the Fourth Proportional to 326.40, 492.51 and 313.74

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Solution

The fourth proportional to 326.40, 492.51 and 313.74 is: 473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 492.51 = 313.74 : x
  2. Step 2: Convert to fraction form
    326.40/492.51 = 313.74/x
  3. Step 3: Cross multiply
    326.40x = 492.51 × 313.74
  4. Step 4: Simplify right side
    326.40x = 154,520.53
  5. Step 5: Solve for x
    x = 154,520.53/326.40
  6. Step 6: Final answer
    x = 473.41

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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.