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Finding the Fourth Proportional to 334.40, 499.46 and 257.36

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Solution

The fourth proportional to 334.40, 499.46 and 257.36 is: 384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.40 : 499.46 = 257.36 : x
  2. Step 2: Convert to fraction form
    334.40/499.46 = 257.36/x
  3. Step 3: Cross multiply
    334.40x = 499.46 × 257.36
  4. Step 4: Simplify right side
    334.40x = 128,541.03
  5. Step 5: Solve for x
    x = 128,541.03/334.40
  6. Step 6: Final answer
    x = 384.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.