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Finding the Fourth Proportional to 303.46, 454.38 and 257.56

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Solution

The fourth proportional to 303.46, 454.38 and 257.56 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.46 : 454.38 = 257.56 : x
  2. Step 2: Convert to fraction form
    303.46/454.38 = 257.56/x
  3. Step 3: Cross multiply
    303.46x = 454.38 × 257.56
  4. Step 4: Simplify right side
    303.46x = 117,030.11
  5. Step 5: Solve for x
    x = 117,030.11/303.46
  6. Step 6: Final answer
    x = 385.65

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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.