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Finding the Fourth Proportional to 59.01, 88.58 and 54.78

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Solution

The fourth proportional to 59.01, 88.58 and 54.78 is: 82.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.01 : 88.58 = 54.78 : x
  2. Step 2: Convert to fraction form
    59.01/88.58 = 54.78/x
  3. Step 3: Cross multiply
    59.01x = 88.58 × 54.78
  4. Step 4: Simplify right side
    59.01x = 4,852.41
  5. Step 5: Solve for x
    x = 4,852.41/59.01
  6. Step 6: Final answer
    x = 82.23

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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.