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Finding the Fourth Proportional to 56.71, 78.22 and 36.76

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Solution

The fourth proportional to 56.71, 78.22 and 36.76 is: 50.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.71 : 78.22 = 36.76 : x
  2. Step 2: Convert to fraction form
    56.71/78.22 = 36.76/x
  3. Step 3: Cross multiply
    56.71x = 78.22 × 36.76
  4. Step 4: Simplify right side
    56.71x = 2,875.37
  5. Step 5: Solve for x
    x = 2,875.37/56.71
  6. Step 6: Final answer
    x = 50.70

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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.