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Finding the Fourth Proportional to 292.76, 404.88 and 253.46

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Solution

The fourth proportional to 292.76, 404.88 and 253.46 is: 350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.76 : 404.88 = 253.46 : x
  2. Step 2: Convert to fraction form
    292.76/404.88 = 253.46/x
  3. Step 3: Cross multiply
    292.76x = 404.88 × 253.46
  4. Step 4: Simplify right side
    292.76x = 102,620.88
  5. Step 5: Solve for x
    x = 102,620.88/292.76
  6. Step 6: Final answer
    x = 350.53

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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.