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Finding the Fourth Proportional to 332.90, 499.34 and 256.34

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Solution

The fourth proportional to 332.90, 499.34 and 256.34 is: 384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.90 : 499.34 = 256.34 : x
  2. Step 2: Convert to fraction form
    332.90/499.34 = 256.34/x
  3. Step 3: Cross multiply
    332.90x = 499.34 × 256.34
  4. Step 4: Simplify right side
    332.90x = 128,000.82
  5. Step 5: Solve for x
    x = 128,000.82/332.90
  6. Step 6: Final answer
    x = 384.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.