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Finding the Fourth Proportional to 340.14, 469.53 and 257.27

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Solution

The fourth proportional to 340.14, 469.53 and 257.27 is: 355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 469.53 = 257.27 : x
  2. Step 2: Convert to fraction form
    340.14/469.53 = 257.27/x
  3. Step 3: Cross multiply
    340.14x = 469.53 × 257.27
  4. Step 4: Simplify right side
    340.14x = 120,793.64
  5. Step 5: Solve for x
    x = 120,793.64/340.14
  6. Step 6: Final answer
    x = 355.13

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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.