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Finding the Fourth Proportional to 302.54, 417.96 and 275.81

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Solution

The fourth proportional to 302.54, 417.96 and 275.81 is: 381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 417.96 = 275.81 : x
  2. Step 2: Convert to fraction form
    302.54/417.96 = 275.81/x
  3. Step 3: Cross multiply
    302.54x = 417.96 × 275.81
  4. Step 4: Simplify right side
    302.54x = 115,275.46
  5. Step 5: Solve for x
    x = 115,275.46/302.54
  6. Step 6: Final answer
    x = 381.03

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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.