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Finding the Fourth Proportional to 354.28, 530.28 and 321.46

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Solution

The fourth proportional to 354.28, 530.28 and 321.46 is: 481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.28 : 530.28 = 321.46 : x
  2. Step 2: Convert to fraction form
    354.28/530.28 = 321.46/x
  3. Step 3: Cross multiply
    354.28x = 530.28 × 321.46
  4. Step 4: Simplify right side
    354.28x = 170,463.81
  5. Step 5: Solve for x
    x = 170,463.81/354.28
  6. Step 6: Final answer
    x = 481.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.