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Finding the Fourth Proportional to 384.28, 531.02 and 290.86

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Solution

The fourth proportional to 384.28, 531.02 and 290.86 is: 401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.28 : 531.02 = 290.86 : x
  2. Step 2: Convert to fraction form
    384.28/531.02 = 290.86/x
  3. Step 3: Cross multiply
    384.28x = 531.02 × 290.86
  4. Step 4: Simplify right side
    384.28x = 154,451.02
  5. Step 5: Solve for x
    x = 154,451.02/384.28
  6. Step 6: Final answer
    x = 401.92

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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.