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Finding the Fourth Proportional to 230.17, 345.25 and 65.64

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Solution

The fourth proportional to 230.17, 345.25 and 65.64 is: 98.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.17 : 345.25 = 65.64 : x
  2. Step 2: Convert to fraction form
    230.17/345.25 = 65.64/x
  3. Step 3: Cross multiply
    230.17x = 345.25 × 65.64
  4. Step 4: Simplify right side
    230.17x = 22,662.21
  5. Step 5: Solve for x
    x = 22,662.21/230.17
  6. Step 6: Final answer
    x = 98.46

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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.