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Finding the Fourth Proportional to 544.79, 816.10 and 256.43

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Solution

The fourth proportional to 544.79, 816.10 and 256.43 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.79 : 816.10 = 256.43 : x
  2. Step 2: Convert to fraction form
    544.79/816.10 = 256.43/x
  3. Step 3: Cross multiply
    544.79x = 816.10 × 256.43
  4. Step 4: Simplify right side
    544.79x = 209,267.80
  5. Step 5: Solve for x
    x = 209,267.80/544.79
  6. Step 6: Final answer
    x = 384.13

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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.