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Finding the Fourth Proportional to 52.23, 78 and 49.53

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Solution

The fourth proportional to 52.23, 78 and 49.53 is: 73.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 78 = 49.53 : x
  2. Step 2: Convert to fraction form
    52.23/78 = 49.53/x
  3. Step 3: Cross multiply
    52.23x = 78 × 49.53
  4. Step 4: Simplify right side
    52.23x = 3,863.34
  5. Step 5: Solve for x
    x = 3,863.34/52.23
  6. Step 6: Final answer
    x = 73.97

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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.