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Finding the Fourth Proportional to 888.47, 1,332.34 and 311.21

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Solution

The fourth proportional to 888.47, 1,332.34 and 311.21 is: 466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.47 : 1,332.34 = 311.21 : x
  2. Step 2: Convert to fraction form
    888.47/1,332.34 = 311.21/x
  3. Step 3: Cross multiply
    888.47x = 1,332.34 × 311.21
  4. Step 4: Simplify right side
    888.47x = 414,637.53
  5. Step 5: Solve for x
    x = 414,637.53/888.47
  6. Step 6: Final answer
    x = 466.69

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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.