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Finding the Fourth Proportional to 292.97, 437.28 and 253.75

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Solution

The fourth proportional to 292.97, 437.28 and 253.75 is: 378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.97 : 437.28 = 253.75 : x
  2. Step 2: Convert to fraction form
    292.97/437.28 = 253.75/x
  3. Step 3: Cross multiply
    292.97x = 437.28 × 253.75
  4. Step 4: Simplify right side
    292.97x = 110,959.80
  5. Step 5: Solve for x
    x = 110,959.80/292.97
  6. Step 6: Final answer
    x = 378.74

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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.