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Finding the Fourth Proportional to 342.64, 511.25 and 326.62

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Solution

The fourth proportional to 342.64, 511.25 and 326.62 is: 487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.64 : 511.25 = 326.62 : x
  2. Step 2: Convert to fraction form
    342.64/511.25 = 326.62/x
  3. Step 3: Cross multiply
    342.64x = 511.25 × 326.62
  4. Step 4: Simplify right side
    342.64x = 166,984.48
  5. Step 5: Solve for x
    x = 166,984.48/342.64
  6. Step 6: Final answer
    x = 487.35

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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.