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Finding the Fourth Proportional to 52.01, 78.05 and 40.53

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Solution

The fourth proportional to 52.01, 78.05 and 40.53 is: 60.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.01 : 78.05 = 40.53 : x
  2. Step 2: Convert to fraction form
    52.01/78.05 = 40.53/x
  3. Step 3: Cross multiply
    52.01x = 78.05 × 40.53
  4. Step 4: Simplify right side
    52.01x = 3,163.16
  5. Step 5: Solve for x
    x = 3,163.16/52.01
  6. Step 6: Final answer
    x = 60.82

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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.