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Finding the Fourth Proportional to 354.54, 533.68 and 301.70

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Solution

The fourth proportional to 354.54, 533.68 and 301.70 is: 454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.54 : 533.68 = 301.70 : x
  2. Step 2: Convert to fraction form
    354.54/533.68 = 301.70/x
  3. Step 3: Cross multiply
    354.54x = 533.68 × 301.70
  4. Step 4: Simplify right side
    354.54x = 161,011.26
  5. Step 5: Solve for x
    x = 161,011.26/354.54
  6. Step 6: Final answer
    x = 454.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.