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Finding the Fourth Proportional to 930.31, 1,395.14 and 272.00

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Solution

The fourth proportional to 930.31, 1,395.14 and 272.00 is: 407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.31 : 1,395.14 = 272.00 : x
  2. Step 2: Convert to fraction form
    930.31/1,395.14 = 272.00/x
  3. Step 3: Cross multiply
    930.31x = 1,395.14 × 272.00
  4. Step 4: Simplify right side
    930.31x = 379,480.21
  5. Step 5: Solve for x
    x = 379,480.21/930.31
  6. Step 6: Final answer
    x = 407.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.