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Finding the Fourth Proportional to 218.86, 302.03 and 145.20

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Solution

The fourth proportional to 218.86, 302.03 and 145.20 is: 200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.86 : 302.03 = 145.20 : x
  2. Step 2: Convert to fraction form
    218.86/302.03 = 145.20/x
  3. Step 3: Cross multiply
    218.86x = 302.03 × 145.20
  4. Step 4: Simplify right side
    218.86x = 43,855.12
  5. Step 5: Solve for x
    x = 43,855.12/218.86
  6. Step 6: Final answer
    x = 200.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.