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Finding the Fourth Proportional to 508.19, 701.31 and 287.13

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Solution

The fourth proportional to 508.19, 701.31 and 287.13 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.19 : 701.31 = 287.13 : x
  2. Step 2: Convert to fraction form
    508.19/701.31 = 287.13/x
  3. Step 3: Cross multiply
    508.19x = 701.31 × 287.13
  4. Step 4: Simplify right side
    508.19x = 201,367.14
  5. Step 5: Solve for x
    x = 201,367.14/508.19
  6. Step 6: Final answer
    x = 396.25

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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.