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Finding the Fourth Proportional to 52.19, 78.16 and 48.25

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Solution

The fourth proportional to 52.19, 78.16 and 48.25 is: 72.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.19 : 78.16 = 48.25 : x
  2. Step 2: Convert to fraction form
    52.19/78.16 = 48.25/x
  3. Step 3: Cross multiply
    52.19x = 78.16 × 48.25
  4. Step 4: Simplify right side
    52.19x = 3,771.22
  5. Step 5: Solve for x
    x = 3,771.22/52.19
  6. Step 6: Final answer
    x = 72.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.