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Finding the Fourth Proportional to 254.50, 383.51 and 230.14

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Solution

The fourth proportional to 254.50, 383.51 and 230.14 is: 346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 383.51 = 230.14 : x
  2. Step 2: Convert to fraction form
    254.50/383.51 = 230.14/x
  3. Step 3: Cross multiply
    254.50x = 383.51 × 230.14
  4. Step 4: Simplify right side
    254.50x = 88,260.61
  5. Step 5: Solve for x
    x = 88,260.61/254.50
  6. Step 6: Final answer
    x = 346.80

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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.