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Finding the Fourth Proportional to 29.16, 40.24 and 21.87

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Solution

The fourth proportional to 29.16, 40.24 and 21.87 is: 30.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.16 : 40.24 = 21.87 : x
  2. Step 2: Convert to fraction form
    29.16/40.24 = 21.87/x
  3. Step 3: Cross multiply
    29.16x = 40.24 × 21.87
  4. Step 4: Simplify right side
    29.16x = 880.02
  5. Step 5: Solve for x
    x = 880.02/29.16
  6. Step 6: Final answer
    x = 30.18

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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.