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Finding the Fourth Proportional to 452.55, 624.49 and 256.09

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Solution

The fourth proportional to 452.55, 624.49 and 256.09 is: 353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.55 : 624.49 = 256.09 : x
  2. Step 2: Convert to fraction form
    452.55/624.49 = 256.09/x
  3. Step 3: Cross multiply
    452.55x = 624.49 × 256.09
  4. Step 4: Simplify right side
    452.55x = 159,925.64
  5. Step 5: Solve for x
    x = 159,925.64/452.55
  6. Step 6: Final answer
    x = 353.39

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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.