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Finding the Fourth Proportional to 340.54, 470.57 and 257.50

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Solution

The fourth proportional to 340.54, 470.57 and 257.50 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.54 : 470.57 = 257.50 : x
  2. Step 2: Convert to fraction form
    340.54/470.57 = 257.50/x
  3. Step 3: Cross multiply
    340.54x = 470.57 × 257.50
  4. Step 4: Simplify right side
    340.54x = 121,171.78
  5. Step 5: Solve for x
    x = 121,171.78/340.54
  6. Step 6: Final answer
    x = 355.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.