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Finding the Fourth Proportional to 145.25, 200.35 and 97.99

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Solution

The fourth proportional to 145.25, 200.35 and 97.99 is: 135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.25 : 200.35 = 97.99 : x
  2. Step 2: Convert to fraction form
    145.25/200.35 = 97.99/x
  3. Step 3: Cross multiply
    145.25x = 200.35 × 97.99
  4. Step 4: Simplify right side
    145.25x = 19,632.30
  5. Step 5: Solve for x
    x = 19,632.30/145.25
  6. Step 6: Final answer
    x = 135.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.