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Finding the Fourth Proportional to 322.19, 444.42 and 260.02

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Solution

The fourth proportional to 322.19, 444.42 and 260.02 is: 358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.19 : 444.42 = 260.02 : x
  2. Step 2: Convert to fraction form
    322.19/444.42 = 260.02/x
  3. Step 3: Cross multiply
    322.19x = 444.42 × 260.02
  4. Step 4: Simplify right side
    322.19x = 115,558.64
  5. Step 5: Solve for x
    x = 115,558.64/322.19
  6. Step 6: Final answer
    x = 358.67

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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.