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Finding the Fourth Proportional to 587.77, 881.10 and 202.75

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Solution

The fourth proportional to 587.77, 881.10 and 202.75 is: 303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.77 : 881.10 = 202.75 : x
  2. Step 2: Convert to fraction form
    587.77/881.10 = 202.75/x
  3. Step 3: Cross multiply
    587.77x = 881.10 × 202.75
  4. Step 4: Simplify right side
    587.77x = 178,643.03
  5. Step 5: Solve for x
    x = 178,643.03/587.77
  6. Step 6: Final answer
    x = 303.93

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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.