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Finding the Fourth Proportional to 52.37, 72.31 and 39.45

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Solution

The fourth proportional to 52.37, 72.31 and 39.45 is: 54.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.37 : 72.31 = 39.45 : x
  2. Step 2: Convert to fraction form
    52.37/72.31 = 39.45/x
  3. Step 3: Cross multiply
    52.37x = 72.31 × 39.45
  4. Step 4: Simplify right side
    52.37x = 2,852.43
  5. Step 5: Solve for x
    x = 2,852.43/52.37
  6. Step 6: Final answer
    x = 54.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.