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Finding the Fourth Proportional to 145.32, 216.80 and 138.44

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Solution

The fourth proportional to 145.32, 216.80 and 138.44 is: 206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 216.80 = 138.44 : x
  2. Step 2: Convert to fraction form
    145.32/216.80 = 138.44/x
  3. Step 3: Cross multiply
    145.32x = 216.80 × 138.44
  4. Step 4: Simplify right side
    145.32x = 30,013.79
  5. Step 5: Solve for x
    x = 30,013.79/145.32
  6. Step 6: Final answer
    x = 206.54

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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.