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Finding the Fourth Proportional to 302.99, 419.12 and 253.71

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Solution

The fourth proportional to 302.99, 419.12 and 253.71 is: 350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.99 : 419.12 = 253.71 : x
  2. Step 2: Convert to fraction form
    302.99/419.12 = 253.71/x
  3. Step 3: Cross multiply
    302.99x = 419.12 × 253.71
  4. Step 4: Simplify right side
    302.99x = 106,333.67
  5. Step 5: Solve for x
    x = 106,333.67/302.99
  6. Step 6: Final answer
    x = 350.95

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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.