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Finding the Fourth Proportional to 145.08, 218.59 and 140.22

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Solution

The fourth proportional to 145.08, 218.59 and 140.22 is: 211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.08 : 218.59 = 140.22 : x
  2. Step 2: Convert to fraction form
    145.08/218.59 = 140.22/x
  3. Step 3: Cross multiply
    145.08x = 218.59 × 140.22
  4. Step 4: Simplify right side
    145.08x = 30,650.34
  5. Step 5: Solve for x
    x = 30,650.34/145.08
  6. Step 6: Final answer
    x = 211.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.