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Finding the Fourth Proportional to 55.86, 83.67 and 37.74

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Solution

The fourth proportional to 55.86, 83.67 and 37.74 is: 56.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.86 : 83.67 = 37.74 : x
  2. Step 2: Convert to fraction form
    55.86/83.67 = 37.74/x
  3. Step 3: Cross multiply
    55.86x = 83.67 × 37.74
  4. Step 4: Simplify right side
    55.86x = 3,157.71
  5. Step 5: Solve for x
    x = 3,157.71/55.86
  6. Step 6: Final answer
    x = 56.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.