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Finding the Fourth Proportional to 371.64, 511.56 and 359.16

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Solution

The fourth proportional to 371.64, 511.56 and 359.16 is: 494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.64 : 511.56 = 359.16 : x
  2. Step 2: Convert to fraction form
    371.64/511.56 = 359.16/x
  3. Step 3: Cross multiply
    371.64x = 511.56 × 359.16
  4. Step 4: Simplify right side
    371.64x = 183,731.89
  5. Step 5: Solve for x
    x = 183,731.89/371.64
  6. Step 6: Final answer
    x = 494.38

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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.