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Finding the Fourth Proportional to 59.14, 89.35 and 58.58

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Solution

The fourth proportional to 59.14, 89.35 and 58.58 is: 88.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.14 : 89.35 = 58.58 : x
  2. Step 2: Convert to fraction form
    59.14/89.35 = 58.58/x
  3. Step 3: Cross multiply
    59.14x = 89.35 × 58.58
  4. Step 4: Simplify right side
    59.14x = 5,234.12
  5. Step 5: Solve for x
    x = 5,234.12/59.14
  6. Step 6: Final answer
    x = 88.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.