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Finding the Fourth Proportional to 315.30, 471.89 and 259.82

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Solution

The fourth proportional to 315.30, 471.89 and 259.82 is: 388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.30 : 471.89 = 259.82 : x
  2. Step 2: Convert to fraction form
    315.30/471.89 = 259.82/x
  3. Step 3: Cross multiply
    315.30x = 471.89 × 259.82
  4. Step 4: Simplify right side
    315.30x = 122,606.52
  5. Step 5: Solve for x
    x = 122,606.52/315.30
  6. Step 6: Final answer
    x = 388.85

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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.