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Finding the Fourth Proportional to 343.86, 474.52 and 188.61

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Solution

The fourth proportional to 343.86, 474.52 and 188.61 is: 260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 474.52 = 188.61 : x
  2. Step 2: Convert to fraction form
    343.86/474.52 = 188.61/x
  3. Step 3: Cross multiply
    343.86x = 474.52 × 188.61
  4. Step 4: Simplify right side
    343.86x = 89,499.22
  5. Step 5: Solve for x
    x = 89,499.22/343.86
  6. Step 6: Final answer
    x = 260.28

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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.