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Finding the Fourth Proportional to 86.58, 130.59 and 83.84

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Solution

The fourth proportional to 86.58, 130.59 and 83.84 is: 126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.58 : 130.59 = 83.84 : x
  2. Step 2: Convert to fraction form
    86.58/130.59 = 83.84/x
  3. Step 3: Cross multiply
    86.58x = 130.59 × 83.84
  4. Step 4: Simplify right side
    86.58x = 10,948.01
  5. Step 5: Solve for x
    x = 10,948.01/86.58
  6. Step 6: Final answer
    x = 126.45

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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.