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Finding the Fourth Proportional to 37.00, 55.45 and 32.50

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Solution

The fourth proportional to 37.00, 55.45 and 32.50 is: 48.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.00 : 55.45 = 32.50 : x
  2. Step 2: Convert to fraction form
    37.00/55.45 = 32.50/x
  3. Step 3: Cross multiply
    37.00x = 55.45 × 32.50
  4. Step 4: Simplify right side
    37.00x = 1,802.19
  5. Step 5: Solve for x
    x = 1,802.19/37.00
  6. Step 6: Final answer
    x = 48.71

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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.