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Finding the Fourth Proportional to 452.68, 624.62 and 256.20

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Solution

The fourth proportional to 452.68, 624.62 and 256.20 is: 353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.68 : 624.62 = 256.20 : x
  2. Step 2: Convert to fraction form
    452.68/624.62 = 256.20/x
  3. Step 3: Cross multiply
    452.68x = 624.62 × 256.20
  4. Step 4: Simplify right side
    452.68x = 160,027.64
  5. Step 5: Solve for x
    x = 160,027.64/452.68
  6. Step 6: Final answer
    x = 353.51

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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.