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Finding the Fourth Proportional to 56.96, 78.64 and 37.58

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Solution

The fourth proportional to 56.96, 78.64 and 37.58 is: 51.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.96 : 78.64 = 37.58 : x
  2. Step 2: Convert to fraction form
    56.96/78.64 = 37.58/x
  3. Step 3: Cross multiply
    56.96x = 78.64 × 37.58
  4. Step 4: Simplify right side
    56.96x = 2,955.29
  5. Step 5: Solve for x
    x = 2,955.29/56.96
  6. Step 6: Final answer
    x = 51.88

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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.