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Finding the Fourth Proportional to 145.13, 216.03 and 138.49

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Solution

The fourth proportional to 145.13, 216.03 and 138.49 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 216.03 = 138.49 : x
  2. Step 2: Convert to fraction form
    145.13/216.03 = 138.49/x
  3. Step 3: Cross multiply
    145.13x = 216.03 × 138.49
  4. Step 4: Simplify right side
    145.13x = 29,917.99
  5. Step 5: Solve for x
    x = 29,917.99/145.13
  6. Step 6: Final answer
    x = 206.15

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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.