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Finding the Fourth Proportional to 384.13, 528.81 and 366.70

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Solution

The fourth proportional to 384.13, 528.81 and 366.70 is: 504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.13 : 528.81 = 366.70 : x
  2. Step 2: Convert to fraction form
    384.13/528.81 = 366.70/x
  3. Step 3: Cross multiply
    384.13x = 528.81 × 366.70
  4. Step 4: Simplify right side
    384.13x = 193,914.63
  5. Step 5: Solve for x
    x = 193,914.63/384.13
  6. Step 6: Final answer
    x = 504.82

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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.