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Finding the Fourth Proportional to 505.10, 756.20 and 342.49

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Solution

The fourth proportional to 505.10, 756.20 and 342.49 is: 512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.10 : 756.20 = 342.49 : x
  2. Step 2: Convert to fraction form
    505.10/756.20 = 342.49/x
  3. Step 3: Cross multiply
    505.10x = 756.20 × 342.49
  4. Step 4: Simplify right side
    505.10x = 258,990.94
  5. Step 5: Solve for x
    x = 258,990.94/505.10
  6. Step 6: Final answer
    x = 512.75

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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.