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Finding the Fourth Proportional to 51.13, 70.64 and 34.80

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Solution

The fourth proportional to 51.13, 70.64 and 34.80 is: 48.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.13 : 70.64 = 34.80 : x
  2. Step 2: Convert to fraction form
    51.13/70.64 = 34.80/x
  3. Step 3: Cross multiply
    51.13x = 70.64 × 34.80
  4. Step 4: Simplify right side
    51.13x = 2,458.27
  5. Step 5: Solve for x
    x = 2,458.27/51.13
  6. Step 6: Final answer
    x = 48.08

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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.