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Finding the Fourth Proportional to 503.65, 755.37 and 243.49

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Solution

The fourth proportional to 503.65, 755.37 and 243.49 is: 365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.65 : 755.37 = 243.49 : x
  2. Step 2: Convert to fraction form
    503.65/755.37 = 243.49/x
  3. Step 3: Cross multiply
    503.65x = 755.37 × 243.49
  4. Step 4: Simplify right side
    503.65x = 183,923.82
  5. Step 5: Solve for x
    x = 183,923.82/503.65
  6. Step 6: Final answer
    x = 365.18

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1.5x scale

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.