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Finding the Fourth Proportional to 354.57, 529 and 302.61

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Solution

The fourth proportional to 354.57, 529 and 302.61 is: 451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.57 : 529 = 302.61 : x
  2. Step 2: Convert to fraction form
    354.57/529 = 302.61/x
  3. Step 3: Cross multiply
    354.57x = 529 × 302.61
  4. Step 4: Simplify right side
    354.57x = 160,080.69
  5. Step 5: Solve for x
    x = 160,080.69/354.57
  6. Step 6: Final answer
    x = 451.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.