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Finding the Fourth Proportional to 145.26, 216.81 and 124.61

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Solution

The fourth proportional to 145.26, 216.81 and 124.61 is: 185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.26 : 216.81 = 124.61 : x
  2. Step 2: Convert to fraction form
    145.26/216.81 = 124.61/x
  3. Step 3: Cross multiply
    145.26x = 216.81 × 124.61
  4. Step 4: Simplify right side
    145.26x = 27,015.61
  5. Step 5: Solve for x
    x = 27,015.61/145.26
  6. Step 6: Final answer
    x = 185.98

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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.