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Finding the Fourth Proportional to 506.01, 758.41 and 216.84

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Solution

The fourth proportional to 506.01, 758.41 and 216.84 is: 325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.01 : 758.41 = 216.84 : x
  2. Step 2: Convert to fraction form
    506.01/758.41 = 216.84/x
  3. Step 3: Cross multiply
    506.01x = 758.41 × 216.84
  4. Step 4: Simplify right side
    506.01x = 164,457.15
  5. Step 5: Solve for x
    x = 164,457.15/506.01
  6. Step 6: Final answer
    x = 325.01

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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.