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Finding the Fourth Proportional to 294.77, 439.96 and 253.46

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Solution

The fourth proportional to 294.77, 439.96 and 253.46 is: 378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.77 : 439.96 = 253.46 : x
  2. Step 2: Convert to fraction form
    294.77/439.96 = 253.46/x
  3. Step 3: Cross multiply
    294.77x = 439.96 × 253.46
  4. Step 4: Simplify right side
    294.77x = 111,512.26
  5. Step 5: Solve for x
    x = 111,512.26/294.77
  6. Step 6: Final answer
    x = 378.30

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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.