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Finding the Fourth Proportional to 272.49, 407.24 and 237.48

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Solution

The fourth proportional to 272.49, 407.24 and 237.48 is: 354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.49 : 407.24 = 237.48 : x
  2. Step 2: Convert to fraction form
    272.49/407.24 = 237.48/x
  3. Step 3: Cross multiply
    272.49x = 407.24 × 237.48
  4. Step 4: Simplify right side
    272.49x = 96,710.17
  5. Step 5: Solve for x
    x = 96,710.17/272.49
  6. Step 6: Final answer
    x = 354.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.