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Finding the Fourth Proportional to 342.10, 509.78 and 326.91

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Solution

The fourth proportional to 342.10, 509.78 and 326.91 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.10 : 509.78 = 326.91 : x
  2. Step 2: Convert to fraction form
    342.10/509.78 = 326.91/x
  3. Step 3: Cross multiply
    342.10x = 509.78 × 326.91
  4. Step 4: Simplify right side
    342.10x = 166,652.18
  5. Step 5: Solve for x
    x = 166,652.18/342.10
  6. Step 6: Final answer
    x = 487.14

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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.