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Finding the Fourth Proportional to 591.09, 886.65 and 158.25

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Solution

The fourth proportional to 591.09, 886.65 and 158.25 is: 237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.09 : 886.65 = 158.25 : x
  2. Step 2: Convert to fraction form
    591.09/886.65 = 158.25/x
  3. Step 3: Cross multiply
    591.09x = 886.65 × 158.25
  4. Step 4: Simplify right side
    591.09x = 140,312.36
  5. Step 5: Solve for x
    x = 140,312.36/591.09
  6. Step 6: Final answer
    x = 237.38

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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.