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Finding the Fourth Proportional to 384.24, 529.93 and 286.23

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Solution

The fourth proportional to 384.24, 529.93 and 286.23 is: 394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.24 : 529.93 = 286.23 : x
  2. Step 2: Convert to fraction form
    384.24/529.93 = 286.23/x
  3. Step 3: Cross multiply
    384.24x = 529.93 × 286.23
  4. Step 4: Simplify right side
    384.24x = 151,680.43
  5. Step 5: Solve for x
    x = 151,680.43/384.24
  6. Step 6: Final answer
    x = 394.75

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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.