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Finding the Fourth Proportional to 32.16, 47.96 and 30.81

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Solution

The fourth proportional to 32.16, 47.96 and 30.81 is: 45.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.16 : 47.96 = 30.81 : x
  2. Step 2: Convert to fraction form
    32.16/47.96 = 30.81/x
  3. Step 3: Cross multiply
    32.16x = 47.96 × 30.81
  4. Step 4: Simplify right side
    32.16x = 1,477.79
  5. Step 5: Solve for x
    x = 1,477.79/32.16
  6. Step 6: Final answer
    x = 45.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.