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Finding the Fourth Proportional to 145.16, 200.08 and 100.96

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Solution

The fourth proportional to 145.16, 200.08 and 100.96 is: 139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 200.08 = 100.96 : x
  2. Step 2: Convert to fraction form
    145.16/200.08 = 100.96/x
  3. Step 3: Cross multiply
    145.16x = 200.08 × 100.96
  4. Step 4: Simplify right side
    145.16x = 20,200.83
  5. Step 5: Solve for x
    x = 20,200.83/145.16
  6. Step 6: Final answer
    x = 139.16

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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.