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Finding the Fourth Proportional to 98.65, 148.05 and 58.09

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Solution

The fourth proportional to 98.65, 148.05 and 58.09 is: 87.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.65 : 148.05 = 58.09 : x
  2. Step 2: Convert to fraction form
    98.65/148.05 = 58.09/x
  3. Step 3: Cross multiply
    98.65x = 148.05 × 58.09
  4. Step 4: Simplify right side
    98.65x = 8,600.22
  5. Step 5: Solve for x
    x = 8,600.22/98.65
  6. Step 6: Final answer
    x = 87.18

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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.