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Finding the Fourth Proportional to 75.55, 113.11 and 56.38

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Solution

The fourth proportional to 75.55, 113.11 and 56.38 is: 84.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.55 : 113.11 = 56.38 : x
  2. Step 2: Convert to fraction form
    75.55/113.11 = 56.38/x
  3. Step 3: Cross multiply
    75.55x = 113.11 × 56.38
  4. Step 4: Simplify right side
    75.55x = 6,376.77
  5. Step 5: Solve for x
    x = 6,376.77/75.55
  6. Step 6: Final answer
    x = 84.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.