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Finding the Fourth Proportional to 384.40, 529.56 and 334.96

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Solution

The fourth proportional to 384.40, 529.56 and 334.96 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.40 : 529.56 = 334.96 : x
  2. Step 2: Convert to fraction form
    384.40/529.56 = 334.96/x
  3. Step 3: Cross multiply
    384.40x = 529.56 × 334.96
  4. Step 4: Simplify right side
    384.40x = 177,381.42
  5. Step 5: Solve for x
    x = 177,381.42/384.40
  6. Step 6: Final answer
    x = 461.45

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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.