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Finding the Fourth Proportional to 452.61, 624.62 and 256.12

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Solution

The fourth proportional to 452.61, 624.62 and 256.12 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.61 : 624.62 = 256.12 : x
  2. Step 2: Convert to fraction form
    452.61/624.62 = 256.12/x
  3. Step 3: Cross multiply
    452.61x = 624.62 × 256.12
  4. Step 4: Simplify right side
    452.61x = 159,976.75
  5. Step 5: Solve for x
    x = 159,976.75/452.61
  6. Step 6: Final answer
    x = 353.45

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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.