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Finding the Fourth Proportional to 35.61, 48.95 and 31.50

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Solution

The fourth proportional to 35.61, 48.95 and 31.50 is: 43.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.61 : 48.95 = 31.50 : x
  2. Step 2: Convert to fraction form
    35.61/48.95 = 31.50/x
  3. Step 3: Cross multiply
    35.61x = 48.95 × 31.50
  4. Step 4: Simplify right side
    35.61x = 1,541.93
  5. Step 5: Solve for x
    x = 1,541.93/35.61
  6. Step 6: Final answer
    x = 43.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.