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Finding the Fourth Proportional to 295.47, 441 and 256.25

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Solution

The fourth proportional to 295.47, 441 and 256.25 is: 382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.47 : 441 = 256.25 : x
  2. Step 2: Convert to fraction form
    295.47/441 = 256.25/x
  3. Step 3: Cross multiply
    295.47x = 441 × 256.25
  4. Step 4: Simplify right side
    295.47x = 113,006.25
  5. Step 5: Solve for x
    x = 113,006.25/295.47
  6. Step 6: Final answer
    x = 382.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.