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Finding the Fourth Proportional to 452.49, 624.46 and 256.01

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Solution

The fourth proportional to 452.49, 624.46 and 256.01 is: 353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.49 : 624.46 = 256.01 : x
  2. Step 2: Convert to fraction form
    452.49/624.46 = 256.01/x
  3. Step 3: Cross multiply
    452.49x = 624.46 × 256.01
  4. Step 4: Simplify right side
    452.49x = 159,868.23
  5. Step 5: Solve for x
    x = 159,868.23/452.49
  6. Step 6: Final answer
    x = 353.31

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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.