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Finding the Fourth Proportional to 341.63, 470.27 and 258.59

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Solution

The fourth proportional to 341.63, 470.27 and 258.59 is: 355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.63 : 470.27 = 258.59 : x
  2. Step 2: Convert to fraction form
    341.63/470.27 = 258.59/x
  3. Step 3: Cross multiply
    341.63x = 470.27 × 258.59
  4. Step 4: Simplify right side
    341.63x = 121,605.83
  5. Step 5: Solve for x
    x = 121,605.83/341.63
  6. Step 6: Final answer
    x = 355.96

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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.