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Finding the Fourth Proportional to 423.16, 635.14 and 230.92

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Solution

The fourth proportional to 423.16, 635.14 and 230.92 is: 346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 635.14 = 230.92 : x
  2. Step 2: Convert to fraction form
    423.16/635.14 = 230.92/x
  3. Step 3: Cross multiply
    423.16x = 635.14 × 230.92
  4. Step 4: Simplify right side
    423.16x = 146,666.53
  5. Step 5: Solve for x
    x = 146,666.53/423.16
  6. Step 6: Final answer
    x = 346.60

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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.