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Finding the Fourth Proportional to 56.18, 77.62 and 42.41

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Solution

The fourth proportional to 56.18, 77.62 and 42.41 is: 58.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.18 : 77.62 = 42.41 : x
  2. Step 2: Convert to fraction form
    56.18/77.62 = 42.41/x
  3. Step 3: Cross multiply
    56.18x = 77.62 × 42.41
  4. Step 4: Simplify right side
    56.18x = 3,291.86
  5. Step 5: Solve for x
    x = 3,291.86/56.18
  6. Step 6: Final answer
    x = 58.59

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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.