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Finding the Fourth Proportional to 384.42, 529.94 and 363.90

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Solution

The fourth proportional to 384.42, 529.94 and 363.90 is: 501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.42 : 529.94 = 363.90 : x
  2. Step 2: Convert to fraction form
    384.42/529.94 = 363.90/x
  3. Step 3: Cross multiply
    384.42x = 529.94 × 363.90
  4. Step 4: Simplify right side
    384.42x = 192,845.17
  5. Step 5: Solve for x
    x = 192,845.17/384.42
  6. Step 6: Final answer
    x = 501.65

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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.