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Finding the Fourth Proportional to 340.30, 469.20 and 257.14

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Solution

The fourth proportional to 340.30, 469.20 and 257.14 is: 354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.30 : 469.20 = 257.14 : x
  2. Step 2: Convert to fraction form
    340.30/469.20 = 257.14/x
  3. Step 3: Cross multiply
    340.30x = 469.20 × 257.14
  4. Step 4: Simplify right side
    340.30x = 120,650.09
  5. Step 5: Solve for x
    x = 120,650.09/340.30
  6. Step 6: Final answer
    x = 354.54

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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.