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Finding the Fourth Proportional to 315.33, 471.59 and 257.91

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Solution

The fourth proportional to 315.33, 471.59 and 257.91 is: 385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.33 : 471.59 = 257.91 : x
  2. Step 2: Convert to fraction form
    315.33/471.59 = 257.91/x
  3. Step 3: Cross multiply
    315.33x = 471.59 × 257.91
  4. Step 4: Simplify right side
    315.33x = 121,627.78
  5. Step 5: Solve for x
    x = 121,627.78/315.33
  6. Step 6: Final answer
    x = 385.72

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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.