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Finding the Fourth Proportional to 383.63, 575.28 and 123.53

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Solution

The fourth proportional to 383.63, 575.28 and 123.53 is: 185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.63 : 575.28 = 123.53 : x
  2. Step 2: Convert to fraction form
    383.63/575.28 = 123.53/x
  3. Step 3: Cross multiply
    383.63x = 575.28 × 123.53
  4. Step 4: Simplify right side
    383.63x = 71,061.46
  5. Step 5: Solve for x
    x = 71,061.46/383.63
  6. Step 6: Final answer
    x = 185.24

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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.