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Finding the Fourth Proportional to 218.83, 328.34 and 88.93

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Solution

The fourth proportional to 218.83, 328.34 and 88.93 is: 133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.83 : 328.34 = 88.93 : x
  2. Step 2: Convert to fraction form
    218.83/328.34 = 88.93/x
  3. Step 3: Cross multiply
    218.83x = 328.34 × 88.93
  4. Step 4: Simplify right side
    218.83x = 29,197.63
  5. Step 5: Solve for x
    x = 29,197.63/218.83
  6. Step 6: Final answer
    x = 133.43

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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.