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Finding the Fourth Proportional to 384.54, 530.31 and 329.05

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Solution

The fourth proportional to 384.54, 530.31 and 329.05 is: 453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 530.31 = 329.05 : x
  2. Step 2: Convert to fraction form
    384.54/530.31 = 329.05/x
  3. Step 3: Cross multiply
    384.54x = 530.31 × 329.05
  4. Step 4: Simplify right side
    384.54x = 174,498.51
  5. Step 5: Solve for x
    x = 174,498.51/384.54
  6. Step 6: Final answer
    x = 453.79

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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.