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Finding the Fourth Proportional to 145.21, 216.33 and 138.33

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Solution

The fourth proportional to 145.21, 216.33 and 138.33 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.21 : 216.33 = 138.33 : x
  2. Step 2: Convert to fraction form
    145.21/216.33 = 138.33/x
  3. Step 3: Cross multiply
    145.21x = 216.33 × 138.33
  4. Step 4: Simplify right side
    145.21x = 29,924.93
  5. Step 5: Solve for x
    x = 29,924.93/145.21
  6. Step 6: Final answer
    x = 206.08

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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.