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Finding the Fourth Proportional to 326.32, 450.28 and 260.10

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Solution

The fourth proportional to 326.32, 450.28 and 260.10 is: 358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.32 : 450.28 = 260.10 : x
  2. Step 2: Convert to fraction form
    326.32/450.28 = 260.10/x
  3. Step 3: Cross multiply
    326.32x = 450.28 × 260.10
  4. Step 4: Simplify right side
    326.32x = 117,115.49
  5. Step 5: Solve for x
    x = 117,115.49/326.32
  6. Step 6: Final answer
    x = 358.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.