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Finding the Fourth Proportional to 326.74, 487.58 and 292.13

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Solution

The fourth proportional to 326.74, 487.58 and 292.13 is: 435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.74 : 487.58 = 292.13 : x
  2. Step 2: Convert to fraction form
    326.74/487.58 = 292.13/x
  3. Step 3: Cross multiply
    326.74x = 487.58 × 292.13
  4. Step 4: Simplify right side
    326.74x = 142,436.75
  5. Step 5: Solve for x
    x = 142,436.75/326.74
  6. Step 6: Final answer
    x = 435.93

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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.