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Finding the Fourth Proportional to 51.60, 70.56 and 51.33

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Solution

The fourth proportional to 51.60, 70.56 and 51.33 is: 70.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.60 : 70.56 = 51.33 : x
  2. Step 2: Convert to fraction form
    51.60/70.56 = 51.33/x
  3. Step 3: Cross multiply
    51.60x = 70.56 × 51.33
  4. Step 4: Simplify right side
    51.60x = 3,621.84
  5. Step 5: Solve for x
    x = 3,621.84/51.60
  6. Step 6: Final answer
    x = 70.19

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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.