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Finding the Fourth Proportional to 302.52, 417.13 and 248.46

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Solution

The fourth proportional to 302.52, 417.13 and 248.46 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.52 : 417.13 = 248.46 : x
  2. Step 2: Convert to fraction form
    302.52/417.13 = 248.46/x
  3. Step 3: Cross multiply
    302.52x = 417.13 × 248.46
  4. Step 4: Simplify right side
    302.52x = 103,640.12
  5. Step 5: Solve for x
    x = 103,640.12/302.52
  6. Step 6: Final answer
    x = 342.59

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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.