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Finding the Fourth Proportional to 32.66, 45.07 and 22.30

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Solution

The fourth proportional to 32.66, 45.07 and 22.30 is: 30.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.66 : 45.07 = 22.30 : x
  2. Step 2: Convert to fraction form
    32.66/45.07 = 22.30/x
  3. Step 3: Cross multiply
    32.66x = 45.07 × 22.30
  4. Step 4: Simplify right side
    32.66x = 1,005.06
  5. Step 5: Solve for x
    x = 1,005.06/32.66
  6. Step 6: Final answer
    x = 30.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.