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Finding the Fourth Proportional to 50.96, 70.30 and 47.48

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Solution

The fourth proportional to 50.96, 70.30 and 47.48 is: 65.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.96 : 70.30 = 47.48 : x
  2. Step 2: Convert to fraction form
    50.96/70.30 = 47.48/x
  3. Step 3: Cross multiply
    50.96x = 70.30 × 47.48
  4. Step 4: Simplify right side
    50.96x = 3,337.84
  5. Step 5: Solve for x
    x = 3,337.84/50.96
  6. Step 6: Final answer
    x = 65.50

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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.