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Finding the Fourth Proportional to 371.18, 511.86 and 288.14

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Solution

The fourth proportional to 371.18, 511.86 and 288.14 is: 397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.18 : 511.86 = 288.14 : x
  2. Step 2: Convert to fraction form
    371.18/511.86 = 288.14/x
  3. Step 3: Cross multiply
    371.18x = 511.86 × 288.14
  4. Step 4: Simplify right side
    371.18x = 147,487.34
  5. Step 5: Solve for x
    x = 147,487.34/371.18
  6. Step 6: Final answer
    x = 397.35

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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.