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Finding the Fourth Proportional to 51.15, 70.15 and 48.27

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Solution

The fourth proportional to 51.15, 70.15 and 48.27 is: 66.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.15 : 70.15 = 48.27 : x
  2. Step 2: Convert to fraction form
    51.15/70.15 = 48.27/x
  3. Step 3: Cross multiply
    51.15x = 70.15 × 48.27
  4. Step 4: Simplify right side
    51.15x = 3,386.02
  5. Step 5: Solve for x
    x = 3,386.02/51.15
  6. Step 6: Final answer
    x = 66.20

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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.