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Finding the Fourth Proportional to 371.01, 511.69 and 260.51

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Solution

The fourth proportional to 371.01, 511.69 and 260.51 is: 359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.01 : 511.69 = 260.51 : x
  2. Step 2: Convert to fraction form
    371.01/511.69 = 260.51/x
  3. Step 3: Cross multiply
    371.01x = 511.69 × 260.51
  4. Step 4: Simplify right side
    371.01x = 133,300.36
  5. Step 5: Solve for x
    x = 133,300.36/371.01
  6. Step 6: Final answer
    x = 359.29

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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.