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Finding the Fourth Proportional to 32.64, 49.24 and 30.77

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Solution

The fourth proportional to 32.64, 49.24 and 30.77 is: 46.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.64 : 49.24 = 30.77 : x
  2. Step 2: Convert to fraction form
    32.64/49.24 = 30.77/x
  3. Step 3: Cross multiply
    32.64x = 49.24 × 30.77
  4. Step 4: Simplify right side
    32.64x = 1,514.96
  5. Step 5: Solve for x
    x = 1,514.96/32.64
  6. Step 6: Final answer
    x = 46.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.