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Finding the Fourth Proportional to 558.31, 837.50 and 188.11

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Solution

The fourth proportional to 558.31, 837.50 and 188.11 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.31 : 837.50 = 188.11 : x
  2. Step 2: Convert to fraction form
    558.31/837.50 = 188.11/x
  3. Step 3: Cross multiply
    558.31x = 837.50 × 188.11
  4. Step 4: Simplify right side
    558.31x = 157,544.86
  5. Step 5: Solve for x
    x = 157,544.86/558.31
  6. Step 6: Final answer
    x = 282.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.