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Finding the Fourth Proportional to 144.53, 215.74 and 124.37

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Solution

The fourth proportional to 144.53, 215.74 and 124.37 is: 185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.53 : 215.74 = 124.37 : x
  2. Step 2: Convert to fraction form
    144.53/215.74 = 124.37/x
  3. Step 3: Cross multiply
    144.53x = 215.74 × 124.37
  4. Step 4: Simplify right side
    144.53x = 26,831.58
  5. Step 5: Solve for x
    x = 26,831.58/144.53
  6. Step 6: Final answer
    x = 185.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.