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Finding the Fourth Proportional to 145.03, 215.90 and 138.39

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Solution

The fourth proportional to 145.03, 215.90 and 138.39 is: 206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.03 : 215.90 = 138.39 : x
  2. Step 2: Convert to fraction form
    145.03/215.90 = 138.39/x
  3. Step 3: Cross multiply
    145.03x = 215.90 × 138.39
  4. Step 4: Simplify right side
    145.03x = 29,878.78
  5. Step 5: Solve for x
    x = 29,878.78/145.03
  6. Step 6: Final answer
    x = 206.02

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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.