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Finding the Fourth Proportional to 524.63, 786.95 and 216.15

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Solution

The fourth proportional to 524.63, 786.95 and 216.15 is: 324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 786.95 = 216.15 : x
  2. Step 2: Convert to fraction form
    524.63/786.95 = 216.15/x
  3. Step 3: Cross multiply
    524.63x = 786.95 × 216.15
  4. Step 4: Simplify right side
    524.63x = 170,100.45
  5. Step 5: Solve for x
    x = 170,100.45/524.63
  6. Step 6: Final answer
    x = 324.23

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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.