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Finding the Fourth Proportional to 351.46, 524.63 and 322.57

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Solution

The fourth proportional to 351.46, 524.63 and 322.57 is: 481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.46 : 524.63 = 322.57 : x
  2. Step 2: Convert to fraction form
    351.46/524.63 = 322.57/x
  3. Step 3: Cross multiply
    351.46x = 524.63 × 322.57
  4. Step 4: Simplify right side
    351.46x = 169,225.66
  5. Step 5: Solve for x
    x = 169,225.66/351.46
  6. Step 6: Final answer
    x = 481.50

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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.