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Finding the Fourth Proportional to 292.20, 402.28 and 253.40

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Solution

The fourth proportional to 292.20, 402.28 and 253.40 is: 348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 402.28 = 253.40 : x
  2. Step 2: Convert to fraction form
    292.20/402.28 = 253.40/x
  3. Step 3: Cross multiply
    292.20x = 402.28 × 253.40
  4. Step 4: Simplify right side
    292.20x = 101,937.75
  5. Step 5: Solve for x
    x = 101,937.75/292.20
  6. Step 6: Final answer
    x = 348.86

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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.