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Finding the Fourth Proportional to 35.90, 49.50 and 31.80

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Solution

The fourth proportional to 35.90, 49.50 and 31.80 is: 43.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.90 : 49.50 = 31.80 : x
  2. Step 2: Convert to fraction form
    35.90/49.50 = 31.80/x
  3. Step 3: Cross multiply
    35.90x = 49.50 × 31.80
  4. Step 4: Simplify right side
    35.90x = 1,574.10
  5. Step 5: Solve for x
    x = 1,574.10/35.90
  6. Step 6: Final answer
    x = 43.85

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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.