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Finding the Fourth Proportional to 230.66, 346.06 and 86.40

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Solution

The fourth proportional to 230.66, 346.06 and 86.40 is: 129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.66 : 346.06 = 86.40 : x
  2. Step 2: Convert to fraction form
    230.66/346.06 = 86.40/x
  3. Step 3: Cross multiply
    230.66x = 346.06 × 86.40
  4. Step 4: Simplify right side
    230.66x = 29,899.58
  5. Step 5: Solve for x
    x = 29,899.58/230.66
  6. Step 6: Final answer
    x = 129.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.