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Finding the Fourth Proportional to 384.13, 575.32 and 354.16

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Solution

The fourth proportional to 384.13, 575.32 and 354.16 is: 530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.13 : 575.32 = 354.16 : x
  2. Step 2: Convert to fraction form
    384.13/575.32 = 354.16/x
  3. Step 3: Cross multiply
    384.13x = 575.32 × 354.16
  4. Step 4: Simplify right side
    384.13x = 203,755.33
  5. Step 5: Solve for x
    x = 203,755.33/384.13
  6. Step 6: Final answer
    x = 530.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.