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Finding the Fourth Proportional to 145.20, 200.40 and 95.40

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Solution

The fourth proportional to 145.20, 200.40 and 95.40 is: 131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.20 : 200.40 = 95.40 : x
  2. Step 2: Convert to fraction form
    145.20/200.40 = 95.40/x
  3. Step 3: Cross multiply
    145.20x = 200.40 × 95.40
  4. Step 4: Simplify right side
    145.20x = 19,118.16
  5. Step 5: Solve for x
    x = 19,118.16/145.20
  6. Step 6: Final answer
    x = 131.67

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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.