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Finding the Fourth Proportional to 58.87, 88.60 and 52.25

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Solution

The fourth proportional to 58.87, 88.60 and 52.25 is: 78.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.87 : 88.60 = 52.25 : x
  2. Step 2: Convert to fraction form
    58.87/88.60 = 52.25/x
  3. Step 3: Cross multiply
    58.87x = 88.60 × 52.25
  4. Step 4: Simplify right side
    58.87x = 4,629.09
  5. Step 5: Solve for x
    x = 4,629.09/58.87
  6. Step 6: Final answer
    x = 78.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.