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Finding the Fourth Proportional to 314.70, 469.94 and 257.04

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Solution

The fourth proportional to 314.70, 469.94 and 257.04 is: 383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.70 : 469.94 = 257.04 : x
  2. Step 2: Convert to fraction form
    314.70/469.94 = 257.04/x
  3. Step 3: Cross multiply
    314.70x = 469.94 × 257.04
  4. Step 4: Simplify right side
    314.70x = 120,791.65
  5. Step 5: Solve for x
    x = 120,791.65/314.70
  6. Step 6: Final answer
    x = 383.83

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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.