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Finding the Fourth Proportional to 59.94, 89.93 and 19.40

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Solution

The fourth proportional to 59.94, 89.93 and 19.40 is: 29.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.94 : 89.93 = 19.40 : x
  2. Step 2: Convert to fraction form
    59.94/89.93 = 19.40/x
  3. Step 3: Cross multiply
    59.94x = 89.93 × 19.40
  4. Step 4: Simplify right side
    59.94x = 1,744.10
  5. Step 5: Solve for x
    x = 1,744.10/59.94
  6. Step 6: Final answer
    x = 29.10

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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.