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Finding the Fourth Proportional to 189.93, 284.91 and 59.93

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Solution

The fourth proportional to 189.93, 284.91 and 59.93 is: 89.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 284.91 = 59.93 : x
  2. Step 2: Convert to fraction form
    189.93/284.91 = 59.93/x
  3. Step 3: Cross multiply
    189.93x = 284.91 × 59.93
  4. Step 4: Simplify right side
    189.93x = 17,073.23
  5. Step 5: Solve for x
    x = 17,073.23/189.93
  6. Step 6: Final answer
    x = 89.89

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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.