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Finding the Fourth Proportional to 366.88, 503.59 and 326.66

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Solution

The fourth proportional to 366.88, 503.59 and 326.66 is: 448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.88 : 503.59 = 326.66 : x
  2. Step 2: Convert to fraction form
    366.88/503.59 = 326.66/x
  3. Step 3: Cross multiply
    366.88x = 503.59 × 326.66
  4. Step 4: Simplify right side
    366.88x = 164,502.71
  5. Step 5: Solve for x
    x = 164,502.71/366.88
  6. Step 6: Final answer
    x = 448.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.