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Finding the Fourth Proportional to 218.78, 302.06 and 136.01

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Solution

The fourth proportional to 218.78, 302.06 and 136.01 is: 187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.78 : 302.06 = 136.01 : x
  2. Step 2: Convert to fraction form
    218.78/302.06 = 136.01/x
  3. Step 3: Cross multiply
    218.78x = 302.06 × 136.01
  4. Step 4: Simplify right side
    218.78x = 41,082.63
  5. Step 5: Solve for x
    x = 41,082.63/218.78
  6. Step 6: Final answer
    x = 187.78

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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.