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Finding the Fourth Proportional to 315.51, 471.14 and 257.85

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Solution

The fourth proportional to 315.51, 471.14 and 257.85 is: 385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.51 : 471.14 = 257.85 : x
  2. Step 2: Convert to fraction form
    315.51/471.14 = 257.85/x
  3. Step 3: Cross multiply
    315.51x = 471.14 × 257.85
  4. Step 4: Simplify right side
    315.51x = 121,484.09
  5. Step 5: Solve for x
    x = 121,484.09/315.51
  6. Step 6: Final answer
    x = 385.04

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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.