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Finding the Fourth Proportional to 88.23, 132.21 and 47.64

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Solution

The fourth proportional to 88.23, 132.21 and 47.64 is: 71.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.23 : 132.21 = 47.64 : x
  2. Step 2: Convert to fraction form
    88.23/132.21 = 47.64/x
  3. Step 3: Cross multiply
    88.23x = 132.21 × 47.64
  4. Step 4: Simplify right side
    88.23x = 6,298.48
  5. Step 5: Solve for x
    x = 6,298.48/88.23
  6. Step 6: Final answer
    x = 71.39

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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.