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Finding the Fourth Proportional to 303.50, 417.86 and 256.77

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Solution

The fourth proportional to 303.50, 417.86 and 256.77 is: 353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.50 : 417.86 = 256.77 : x
  2. Step 2: Convert to fraction form
    303.50/417.86 = 256.77/x
  3. Step 3: Cross multiply
    303.50x = 417.86 × 256.77
  4. Step 4: Simplify right side
    303.50x = 107,293.59
  5. Step 5: Solve for x
    x = 107,293.59/303.50
  6. Step 6: Final answer
    x = 353.52

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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.