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Finding the Fourth Proportional to 86.42, 130.22 and 84.59

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Solution

The fourth proportional to 86.42, 130.22 and 84.59 is: 127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.42 : 130.22 = 84.59 : x
  2. Step 2: Convert to fraction form
    86.42/130.22 = 84.59/x
  3. Step 3: Cross multiply
    86.42x = 130.22 × 84.59
  4. Step 4: Simplify right side
    86.42x = 11,014.24
  5. Step 5: Solve for x
    x = 11,014.24/86.42
  6. Step 6: Final answer
    x = 127.46

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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.