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Finding the Fourth Proportional to 145.09, 217.64 and 123.58

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Solution

The fourth proportional to 145.09, 217.64 and 123.58 is: 185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.09 : 217.64 = 123.58 : x
  2. Step 2: Convert to fraction form
    145.09/217.64 = 123.58/x
  3. Step 3: Cross multiply
    145.09x = 217.64 × 123.58
  4. Step 4: Simplify right side
    145.09x = 26,895.72
  5. Step 5: Solve for x
    x = 26,895.72/145.09
  6. Step 6: Final answer
    x = 185.38

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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.