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Finding the Fourth Proportional to 351.43, 524.70 and 302.62

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Solution

The fourth proportional to 351.43, 524.70 and 302.62 is: 451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.43 : 524.70 = 302.62 : x
  2. Step 2: Convert to fraction form
    351.43/524.70 = 302.62/x
  3. Step 3: Cross multiply
    351.43x = 524.70 × 302.62
  4. Step 4: Simplify right side
    351.43x = 158,784.71
  5. Step 5: Solve for x
    x = 158,784.71/351.43
  6. Step 6: Final answer
    x = 451.82

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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.