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Finding the Fourth Proportional to 270.47, 407.52 and 244.82

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Solution

The fourth proportional to 270.47, 407.52 and 244.82 is: 368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.47 : 407.52 = 244.82 : x
  2. Step 2: Convert to fraction form
    270.47/407.52 = 244.82/x
  3. Step 3: Cross multiply
    270.47x = 407.52 × 244.82
  4. Step 4: Simplify right side
    270.47x = 99,767.01
  5. Step 5: Solve for x
    x = 99,767.01/270.47
  6. Step 6: Final answer
    x = 368.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.