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Finding the Fourth Proportional to 340.39, 469.56 and 257.50

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Solution

The fourth proportional to 340.39, 469.56 and 257.50 is: 355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.39 : 469.56 = 257.50 : x
  2. Step 2: Convert to fraction form
    340.39/469.56 = 257.50/x
  3. Step 3: Cross multiply
    340.39x = 469.56 × 257.50
  4. Step 4: Simplify right side
    340.39x = 120,911.70
  5. Step 5: Solve for x
    x = 120,911.70/340.39
  6. Step 6: Final answer
    x = 355.22

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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.