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Finding the Fourth Proportional to 340.83, 470.14 and 258.26

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Solution

The fourth proportional to 340.83, 470.14 and 258.26 is: 356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.83 : 470.14 = 258.26 : x
  2. Step 2: Convert to fraction form
    340.83/470.14 = 258.26/x
  3. Step 3: Cross multiply
    340.83x = 470.14 × 258.26
  4. Step 4: Simplify right side
    340.83x = 121,415.36
  5. Step 5: Solve for x
    x = 121,415.36/340.83
  6. Step 6: Final answer
    x = 356.23

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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.