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Finding the Fourth Proportional to 31.51, 46.96 and 29.08

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Solution

The fourth proportional to 31.51, 46.96 and 29.08 is: 43.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.51 : 46.96 = 29.08 : x
  2. Step 2: Convert to fraction form
    31.51/46.96 = 29.08/x
  3. Step 3: Cross multiply
    31.51x = 46.96 × 29.08
  4. Step 4: Simplify right side
    31.51x = 1,365.36
  5. Step 5: Solve for x
    x = 1,365.36/31.51
  6. Step 6: Final answer
    x = 43.34

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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.