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Finding the Fourth Proportional to 344.18, 515.57 and 256.50

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Solution

The fourth proportional to 344.18, 515.57 and 256.50 is: 384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.18 : 515.57 = 256.50 : x
  2. Step 2: Convert to fraction form
    344.18/515.57 = 256.50/x
  3. Step 3: Cross multiply
    344.18x = 515.57 × 256.50
  4. Step 4: Simplify right side
    344.18x = 132,242.42
  5. Step 5: Solve for x
    x = 132,242.42/344.18
  6. Step 6: Final answer
    x = 384.22

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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.