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Finding the Fourth Proportional to 302.98, 419.10 and 253.78

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Solution

The fourth proportional to 302.98, 419.10 and 253.78 is: 351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.98 : 419.10 = 253.78 : x
  2. Step 2: Convert to fraction form
    302.98/419.10 = 253.78/x
  3. Step 3: Cross multiply
    302.98x = 419.10 × 253.78
  4. Step 4: Simplify right side
    302.98x = 106,359.20
  5. Step 5: Solve for x
    x = 106,359.20/302.98
  6. Step 6: Final answer
    x = 351.04

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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.