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Finding the Fourth Proportional to 302.55, 417.49 and 176.49

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Solution

The fourth proportional to 302.55, 417.49 and 176.49 is: 243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.55 : 417.49 = 176.49 : x
  2. Step 2: Convert to fraction form
    302.55/417.49 = 176.49/x
  3. Step 3: Cross multiply
    302.55x = 417.49 × 176.49
  4. Step 4: Simplify right side
    302.55x = 73,682.81
  5. Step 5: Solve for x
    x = 73,682.81/302.55
  6. Step 6: Final answer
    x = 243.54

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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.