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Finding the Fourth Proportional to 524.16, 786.38 and 211.83

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Solution

The fourth proportional to 524.16, 786.38 and 211.83 is: 317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 786.38 = 211.83 : x
  2. Step 2: Convert to fraction form
    524.16/786.38 = 211.83/x
  3. Step 3: Cross multiply
    524.16x = 786.38 × 211.83
  4. Step 4: Simplify right side
    524.16x = 166,577.82
  5. Step 5: Solve for x
    x = 166,577.82/524.16
  6. Step 6: Final answer
    x = 317.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.