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Finding the Fourth Proportional to 380.37, 524.95 and 356.91

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Solution

The fourth proportional to 380.37, 524.95 and 356.91 is: 492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 524.95 = 356.91 : x
  2. Step 2: Convert to fraction form
    380.37/524.95 = 356.91/x
  3. Step 3: Cross multiply
    380.37x = 524.95 × 356.91
  4. Step 4: Simplify right side
    380.37x = 187,357.73
  5. Step 5: Solve for x
    x = 187,357.73/380.37
  6. Step 6: Final answer
    x = 492.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.