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Finding the Fourth Proportional to 335.86, 463.47 and 188.50

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Solution

The fourth proportional to 335.86, 463.47 and 188.50 is: 260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.86 : 463.47 = 188.50 : x
  2. Step 2: Convert to fraction form
    335.86/463.47 = 188.50/x
  3. Step 3: Cross multiply
    335.86x = 463.47 × 188.50
  4. Step 4: Simplify right side
    335.86x = 87,361.78
  5. Step 5: Solve for x
    x = 87,361.78/335.86
  6. Step 6: Final answer
    x = 260.12

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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.