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Finding the Fourth Proportional to 54.98, 76.02 and 46.77

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Solution

The fourth proportional to 54.98, 76.02 and 46.77 is: 64.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.98 : 76.02 = 46.77 : x
  2. Step 2: Convert to fraction form
    54.98/76.02 = 46.77/x
  3. Step 3: Cross multiply
    54.98x = 76.02 × 46.77
  4. Step 4: Simplify right side
    54.98x = 3,555.46
  5. Step 5: Solve for x
    x = 3,555.46/54.98
  6. Step 6: Final answer
    x = 64.67

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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.