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Finding the Fourth Proportional to 56.30, 77.74 and 49.10

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Solution

The fourth proportional to 56.30, 77.74 and 49.10 is: 67.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.30 : 77.74 = 49.10 : x
  2. Step 2: Convert to fraction form
    56.30/77.74 = 49.10/x
  3. Step 3: Cross multiply
    56.30x = 77.74 × 49.10
  4. Step 4: Simplify right side
    56.30x = 3,817.03
  5. Step 5: Solve for x
    x = 3,817.03/56.30
  6. Step 6: Final answer
    x = 67.80

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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.