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Finding the Fourth Proportional to 59.40, 81.60 and 48.45

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Solution

The fourth proportional to 59.40, 81.60 and 48.45 is: 66.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.40 : 81.60 = 48.45 : x
  2. Step 2: Convert to fraction form
    59.40/81.60 = 48.45/x
  3. Step 3: Cross multiply
    59.40x = 81.60 × 48.45
  4. Step 4: Simplify right side
    59.40x = 3,953.52
  5. Step 5: Solve for x
    x = 3,953.52/59.40
  6. Step 6: Final answer
    x = 66.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.