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Finding the Fourth Proportional to 98.36, 145.53 and 98.09

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Solution

The fourth proportional to 98.36, 145.53 and 98.09 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.36 : 145.53 = 98.09 : x
  2. Step 2: Convert to fraction form
    98.36/145.53 = 98.09/x
  3. Step 3: Cross multiply
    98.36x = 145.53 × 98.09
  4. Step 4: Simplify right side
    98.36x = 14,275.04
  5. Step 5: Solve for x
    x = 14,275.04/98.36
  6. Step 6: Final answer
    x = 145.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.