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Finding the Fourth Proportional to 384.19, 529.81 and 343.15

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Solution

The fourth proportional to 384.19, 529.81 and 343.15 is: 473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 529.81 = 343.15 : x
  2. Step 2: Convert to fraction form
    384.19/529.81 = 343.15/x
  3. Step 3: Cross multiply
    384.19x = 529.81 × 343.15
  4. Step 4: Simplify right side
    384.19x = 181,804.30
  5. Step 5: Solve for x
    x = 181,804.30/384.19
  6. Step 6: Final answer
    x = 473.21

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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.