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Finding the Fourth Proportional to 371.16, 511.74 and 312.60

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Solution

The fourth proportional to 371.16, 511.74 and 312.60 is: 431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 511.74 = 312.60 : x
  2. Step 2: Convert to fraction form
    371.16/511.74 = 312.60/x
  3. Step 3: Cross multiply
    371.16x = 511.74 × 312.60
  4. Step 4: Simplify right side
    371.16x = 159,969.92
  5. Step 5: Solve for x
    x = 159,969.92/371.16
  6. Step 6: Final answer
    x = 431.00

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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.