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Finding the Fourth Proportional to 587.51, 881.31 and 197.55

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Solution

The fourth proportional to 587.51, 881.31 and 197.55 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.51 : 881.31 = 197.55 : x
  2. Step 2: Convert to fraction form
    587.51/881.31 = 197.55/x
  3. Step 3: Cross multiply
    587.51x = 881.31 × 197.55
  4. Step 4: Simplify right side
    587.51x = 174,101.80
  5. Step 5: Solve for x
    x = 174,101.80/587.51
  6. Step 6: Final answer
    x = 296.34

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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.