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Finding the Fourth Proportional to 303.21, 417.15 and 259.47

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Solution

The fourth proportional to 303.21, 417.15 and 259.47 is: 356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.21 : 417.15 = 259.47 : x
  2. Step 2: Convert to fraction form
    303.21/417.15 = 259.47/x
  3. Step 3: Cross multiply
    303.21x = 417.15 × 259.47
  4. Step 4: Simplify right side
    303.21x = 108,237.91
  5. Step 5: Solve for x
    x = 108,237.91/303.21
  6. Step 6: Final answer
    x = 356.97

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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.