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Finding the Fourth Proportional to 341.33, 471.67 and 258.30

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Solution

The fourth proportional to 341.33, 471.67 and 258.30 is: 356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.33 : 471.67 = 258.30 : x
  2. Step 2: Convert to fraction form
    341.33/471.67 = 258.30/x
  3. Step 3: Cross multiply
    341.33x = 471.67 × 258.30
  4. Step 4: Simplify right side
    341.33x = 121,831.72
  5. Step 5: Solve for x
    x = 121,831.72/341.33
  6. Step 6: Final answer
    x = 356.93

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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.