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Finding the Fourth Proportional to 341.68, 471.36 and 258.84

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Solution

The fourth proportional to 341.68, 471.36 and 258.84 is: 357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.68 : 471.36 = 258.84 : x
  2. Step 2: Convert to fraction form
    341.68/471.36 = 258.84/x
  3. Step 3: Cross multiply
    341.68x = 471.36 × 258.84
  4. Step 4: Simplify right side
    341.68x = 122,006.82
  5. Step 5: Solve for x
    x = 122,006.82/341.68
  6. Step 6: Final answer
    x = 357.08

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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.