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Finding the Fourth Proportional to 218.91, 302.25 and 145.36

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Solution

The fourth proportional to 218.91, 302.25 and 145.36 is: 200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.91 : 302.25 = 145.36 : x
  2. Step 2: Convert to fraction form
    218.91/302.25 = 145.36/x
  3. Step 3: Cross multiply
    218.91x = 302.25 × 145.36
  4. Step 4: Simplify right side
    218.91x = 43,935.98
  5. Step 5: Solve for x
    x = 43,935.98/218.91
  6. Step 6: Final answer
    x = 200.70

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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.