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Finding the Fourth Proportional to 52.90, 78.75 and 52.60

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Solution

The fourth proportional to 52.90, 78.75 and 52.60 is: 78.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.90 : 78.75 = 52.60 : x
  2. Step 2: Convert to fraction form
    52.90/78.75 = 52.60/x
  3. Step 3: Cross multiply
    52.90x = 78.75 × 52.60
  4. Step 4: Simplify right side
    52.90x = 4,142.25
  5. Step 5: Solve for x
    x = 4,142.25/52.90
  6. Step 6: Final answer
    x = 78.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.