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Finding the Fourth Proportional to 301.02, 414.90 and 230.10

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Solution

The fourth proportional to 301.02, 414.90 and 230.10 is: 317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 414.90 = 230.10 : x
  2. Step 2: Convert to fraction form
    301.02/414.90 = 230.10/x
  3. Step 3: Cross multiply
    301.02x = 414.90 × 230.10
  4. Step 4: Simplify right side
    301.02x = 95,468.49
  5. Step 5: Solve for x
    x = 95,468.49/301.02
  6. Step 6: Final answer
    x = 317.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.