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Finding the Fourth Proportional to 505.96, 758.96 and 213.40

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Solution

The fourth proportional to 505.96, 758.96 and 213.40 is: 320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.96 : 758.96 = 213.40 : x
  2. Step 2: Convert to fraction form
    505.96/758.96 = 213.40/x
  3. Step 3: Cross multiply
    505.96x = 758.96 × 213.40
  4. Step 4: Simplify right side
    505.96x = 161,962.06
  5. Step 5: Solve for x
    x = 161,962.06/505.96
  6. Step 6: Final answer
    x = 320.11

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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.