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Finding the Fourth Proportional to 322.10, 444.16 and 275.63

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Solution

The fourth proportional to 322.10, 444.16 and 275.63 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.10 : 444.16 = 275.63 : x
  2. Step 2: Convert to fraction form
    322.10/444.16 = 275.63/x
  3. Step 3: Cross multiply
    322.10x = 444.16 × 275.63
  4. Step 4: Simplify right side
    322.10x = 122,421.94
  5. Step 5: Solve for x
    x = 122,421.94/322.10
  6. Step 6: Final answer
    x = 380.08

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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.