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Finding the Fourth Proportional to 384.64, 530.40 and 329.56

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Solution

The fourth proportional to 384.64, 530.40 and 329.56 is: 454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 530.40 = 329.56 : x
  2. Step 2: Convert to fraction form
    384.64/530.40 = 329.56/x
  3. Step 3: Cross multiply
    384.64x = 530.40 × 329.56
  4. Step 4: Simplify right side
    384.64x = 174,798.62
  5. Step 5: Solve for x
    x = 174,798.62/384.64
  6. Step 6: Final answer
    x = 454.45

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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.