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Finding the Fourth Proportional to 145.20, 200.42 and 89.91

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Solution

The fourth proportional to 145.20, 200.42 and 89.91 is: 124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.20 : 200.42 = 89.91 : x
  2. Step 2: Convert to fraction form
    145.20/200.42 = 89.91/x
  3. Step 3: Cross multiply
    145.20x = 200.42 × 89.91
  4. Step 4: Simplify right side
    145.20x = 18,019.31
  5. Step 5: Solve for x
    x = 18,019.31/145.20
  6. Step 6: Final answer
    x = 124.10

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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.