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Finding the Fourth Proportional to 145.76, 200.98 and 104.30

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Solution

The fourth proportional to 145.76, 200.98 and 104.30 is: 143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 200.98 = 104.30 : x
  2. Step 2: Convert to fraction form
    145.76/200.98 = 104.30/x
  3. Step 3: Cross multiply
    145.76x = 200.98 × 104.30
  4. Step 4: Simplify right side
    145.76x = 20,960.69
  5. Step 5: Solve for x
    x = 20,960.69/145.76
  6. Step 6: Final answer
    x = 143.80

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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.