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Finding the Fourth Proportional to 56.19, 77.52 and 37.75

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Solution

The fourth proportional to 56.19, 77.52 and 37.75 is: 52.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.19 : 77.52 = 37.75 : x
  2. Step 2: Convert to fraction form
    56.19/77.52 = 37.75/x
  3. Step 3: Cross multiply
    56.19x = 77.52 × 37.75
  4. Step 4: Simplify right side
    56.19x = 2,926.38
  5. Step 5: Solve for x
    x = 2,926.38/56.19
  6. Step 6: Final answer
    x = 52.08

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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.