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Finding the Fourth Proportional to 301.86, 450.18 and 256.50

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Solution

The fourth proportional to 301.86, 450.18 and 256.50 is: 382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 450.18 = 256.50 : x
  2. Step 2: Convert to fraction form
    301.86/450.18 = 256.50/x
  3. Step 3: Cross multiply
    301.86x = 450.18 × 256.50
  4. Step 4: Simplify right side
    301.86x = 115,471.17
  5. Step 5: Solve for x
    x = 115,471.17/301.86
  6. Step 6: Final answer
    x = 382.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.