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Finding the Fourth Proportional to 59.40, 82.35 and 54.90

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Solution

The fourth proportional to 59.40, 82.35 and 54.90 is: 76.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.40 : 82.35 = 54.90 : x
  2. Step 2: Convert to fraction form
    59.40/82.35 = 54.90/x
  3. Step 3: Cross multiply
    59.40x = 82.35 × 54.90
  4. Step 4: Simplify right side
    59.40x = 4,521.02
  5. Step 5: Solve for x
    x = 4,521.02/59.40
  6. Step 6: Final answer
    x = 76.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.