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Finding the Fourth Proportional to 32.90, 49.02 and 30.77

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Solution

The fourth proportional to 32.90, 49.02 and 30.77 is: 45.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.90 : 49.02 = 30.77 : x
  2. Step 2: Convert to fraction form
    32.90/49.02 = 30.77/x
  3. Step 3: Cross multiply
    32.90x = 49.02 × 30.77
  4. Step 4: Simplify right side
    32.90x = 1,508.10
  5. Step 5: Solve for x
    x = 1,508.10/32.90
  6. Step 6: Final answer
    x = 45.85

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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.