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Finding the Fourth Proportional to 145.58, 200.93 and 99

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Solution

The fourth proportional to 145.58, 200.93 and 99 is: 136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.58 : 200.93 = 99 : x
  2. Step 2: Convert to fraction form
    145.58/200.93 = 99/x
  3. Step 3: Cross multiply
    145.58x = 200.93 × 99
  4. Step 4: Simplify right side
    145.58x = 19,891.58
  5. Step 5: Solve for x
    x = 19,891.58/145.58
  6. Step 6: Final answer
    x = 136.64

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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.